MaeganR
Point-Slope Form:
"Graph each equation."
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MaeganR
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#5. y-2=2(x+3)
#6. y+3=-2(x+1)
#7. y+1=-3/5(x+5)
DHASHNI
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|dw:1358042338363:dw|
MaeganR
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How do you show your work?
DHASHNI
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i made a mistake !!!!!
MaeganR
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:O
DHASHNI
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buts its k i'll tell u how to plot
MaeganR
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yeah i need to show my work too
DHASHNI
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for the given equation u got to make up a table for getting the points
MaeganR
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huh.?
MaeganR
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?
DHASHNI
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for the given equation u got to make up a table for getting the points
when u put x=0 in the given equation
y value becomes 8
so , (0,8) is one of the points in the given straight line
when u put y=0 in the given equation
x value becomes 3
so, (3,0 ) is also one of the points in the given straight line|dw:1358043164412:dw|
DHASHNI
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|dw:1358043209533:dw|
DHASHNI
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and for the rest equation do the same u'll easily get plotted!
MaeganR
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what the. im forever stupid. i hate math.
DHASHNI
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huh.?
MaeganR
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im so confused.
Azteck
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#5. \[y=2x+8\]
#6. \[y=-2x-5\]
#7.\[y=-\frac{ 3 }{ 5 }-4\]
|dw:1358111862798:dw|
|dw:1358111959201:dw|
Azteck
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The #7 had a mistype.
\[y=-\frac{ 3 }{ 5 }x-4\]
forgot the x.
MaeganR
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How do you do that?
Azteck
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Make sure when you draw the graphs, include the corresponding equation next to the line.
Azteck
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Okay, please specify. Are you stuck with getting the equations into intercept form or are you stuck with the sketching onto the graph?
Azteck
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Just to let you know I purposely haven't done #7 just to see where your mind is at. So if you're stuck with sketching we can go through #7 together as an example to make sure you understand.
Azteck
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purposely didn't do*
MaeganR
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#5
this is what I got when I did it:
y -2= 2(x+3)
1 - 2 +2(1+3)
1-2=2(4)
1-2=8
(-8,-1)
MaeganR
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1-2=2(1+3) Ooops.^
Azteck
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okay, don't do that. That's a very slow way of sketching them. I got used to a method, where once you learn it completely, you can sketch the equation straight away in 10 seconds after looking at the equation.
MaeganR
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how do you do that? and btw: is that correct anyways?
MaeganR
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?
Azteck
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Okay, do you know how to put the equations in to point intercept form?
Azteck
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y=mx+b where m is the gradient of the line, b is a constant.
MaeganR
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y=mx+b is the formula, but i dont know how to do anything
Azteck
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Okay, good.
Azteck
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Do you know how to expand?
MaeganR
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m is the slope ik that
MaeganR
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what is expanding?
Azteck
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Ah, okay. Now that is something your teacher should have taught you before all this sketching and stuff.
MaeganR
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my teacher just teaches everything in the book. in fact, we dont even use books. she just teaches us on the board and thats how we "LEARN".
Azteck
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#5. y-2=2(x+3)
Expand this part:
\[2(x+3)\]
Azteck
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Don't you know how to remove the brackets?
MaeganR
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is it also called distribute?
MaeganR
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what is a bracket?
MaeganR
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[]?
Azteck
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I think so. Because I'm probably not from your country where you might teach differently. I meant paranthesis. I just call it brackets because it's maths and maths teachers don't care about the technical terms of that stuff.
Azteck
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Okay, If you expand/distribute \[2(x+3)\]
Wouldn't you get \[2(x)+2(3)\]
Azteck
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and then you get
\[2x+6\]
MaeganR
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yesh brb
MaeganR
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ok so hi
MaeganR
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#5. y-2=2(x+3) How do we do this?
Azteck
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okay now, you have y-2=2x+6
MaeganR
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yes
Azteck
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you want to put that into y=mx+b. Wouldn't you have to move the -2 to the LHS(Left Hand Side)?
MaeganR
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wait how do you get the y+3 to be y-2?
Azteck
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what? where's that?
Azteck
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You're looking at the second one. I'm at the first one.
MaeganR
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nvm. sorrry i was looking at two different problems.
MaeganR
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yeah lol
Azteck
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Okay, so put
\[y-2=2x+6\]
into this form
y=mx+b
MaeganR
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is 2 m or is 6 m? 2?
MaeganR
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because 6 would be b right?
Azteck
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You're confusing me and we haven't started doing the other parts yet.
Look at \[y−2=2x+6\]
Azteck
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Now tell me what's the difference between this when you disregard the m's and b's in this equation:
\[y=mx+b\]
MaeganR
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y=x?
Azteck
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Okay. Have you played a game called Spot The Difference? You're trying to find the difference between that equation and the first one.
Azteck
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Come'on, this is the easiest form of mathematics at a standard level. You must know this in order to continue.
Azteck
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Okay, here's something you should know. Collect the like terms.
Azteck
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Do you know what collecting like terms is? Or have you not paid attention in class for a few years?
MaeganR
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Ok. This is what ive done if it helps any.
MaeganR
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and its backwards.
Azteck
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That's going to be hard to read don't you think. Okay, I'm asking you this sole question.
MaeganR
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The teacher I have does not explain, she only gives us frayer diagrams to follow. This is why this is so confusing to me.
Azteck
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Do you understand the statement: "Collecting like terms"
MaeganR
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yeah
MaeganR
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is y=2x+8 anything to do with the answer?
Azteck
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Yes!! Great work!!!
Azteck
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Now, this is the easy part. That's what I think.
MaeganR
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so now what do i do to get it to be point-slope form?
Azteck
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All you have to do when sketching is find the x and y intercepts!
Azteck
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That is point-slope form?
MaeganR
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ok so i can plug in like (1,1) and (3,3)?
Azteck
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No!!!
MaeganR
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y=2x+8 is slope-intercept form. I need it to be point-slope form which is y-y1=m(x-x1). Wait.. I think i know how to do that..
Azteck
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Always when sketching lines, you start off by making x=0
Azteck
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so that means, you substitute x with 0!
Azteck
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y=2(0)+ 8
Azteck
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Anything multiplied by 0 always gives you zero!!
Azteck
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Now you found that when you substitute x with 0 you get y=8
Azteck
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And your coordinates would be (0, 8). Because coordinates always look like this: (x, y)
MaeganR
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i get it. y=2x+8 y=2(0)+8 y=0+8 y=8 !!! :D
Azteck
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Yes!! Now that's called finding the y-intercept. What would you do to find the x-intercept? How would you eliminate y in order to find x?
MaeganR
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whoa. whoa. whoa. hold up. let me think...
MaeganR
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you would plug in 0 for y?
Azteck
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WELL DONE! awesome job @MaeganR!
Azteck
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So what would you get for x?
Azteck
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when you plug in 0 into y?
MaeganR
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let me solve it..
MaeganR
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0=2x+8 is how you start right.?
Azteck
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Yes.
MaeganR
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-4=x !?!?!?!
Azteck
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Yes!!!Correct!!
MaeganR
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so it would be (-4,8) but how do you go up or down.?
Azteck
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so now what would the co-ordinates of the x-intercept be? Remember the coordinates take in the shape of this: (x-value, y-value)
Azteck
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Yes!
MaeganR
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wait. slope=2 2/1 up 2 over 1?
Azteck
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No!! Don't do that.
Azteck
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Forget the slope when sketching.
MaeganR
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but htats what my teacher says to do? ):
Azteck
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Haha, when you go up to senior years, all you do is put important features when sketching. The sketch doesn't need to be 00% perfect and to scale.
Azteck
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100%
MaeganR
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im in 7th grade advanced, so were taking a 9th grade class in 7th grade. legit, no joke
MaeganR
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oh. oh. oh. I get it.
Azteck
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Then if you're in 7th grade advanced, you should be smart as hell. Taking a 9th grade class when you're in 7th grade would require some form of intelligence and dexterity at mathematics. You should know allt his because this is 7th grade maths.
MaeganR
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so (-4,0) and (0,-8)!?!?!?!?!
Azteck
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Yes.
Azteck
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Now run run a line along the two points
Azteck
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You don't need to be precise in your placement of the coordinates.
Azteck
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but make sure the x and y intecept are on the x and y axis respectively.
MaeganR
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but were not leaning 7th grade stuff. we wont learn 8th grade stuff either. its like 7th grade=9th grade 8thgrade=10th grade 9th grade=11th grade 10th grade=12th grade 11th+12th grade=college for free in high school. basically im skipping grades. its so confusing.
Azteck
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Why are you skipping grades with this limited knowledge of maths? If you keep going at this rate, you're on the road to failure.
Azteck
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That's my 2 cents.
MaeganR
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yay. thank you so much. ive been so frustrated for a month because nobody would actually take the time to explain the whole thing to me in unbig scarey words. thank you so much. :)
Azteck
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No worries. I think keeping it simple and just using baby talk always makes more sense than sophisticated and complicated words.
MaeganR
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because i have to do this. theres no way out of the advanced program. once the school puts you in it without youre choice youre there, whether you fail or not.
MaeganR
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yeah. always^.
MaeganR
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im going to close the question now, but you can message me(: