abbycross167
  • abbycross167
Can someone please show me how to do this? I really need help... I will give a medal Graph the following equations using the point-slope method or intercepts method. (1 pt) Show the steps of the procedure as outlined in the lesson as you graph the lines. (1 pt) Draw your y-intercept in yellow, your other points in red and your line in blue. y = -3x + 2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
abbycross167
  • abbycross167
@Directrix Can you try to help me? Please?
baru
  • baru
hi
baru
  • baru
you will need graph paper

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abbycross167
  • abbycross167
okay @baru I have a graph that I have to put it on
baru
  • baru
first we will find "y intercept" y intercept is where the graph of the line cuts the y axis
baru
  • baru
y=-3x + 2 to find y intercept; just substitute x=0 in the above equation what do you get?
abbycross167
  • abbycross167
-1?
baru
  • baru
how did you get -1 i said substitute x=0 in the equation of the line, can you show your steps please
abbycross167
  • abbycross167
umm like this ~ -3+2
baru
  • baru
y=-3x +2 substitute x=0 means:- write '0' in place of x y=-3(0) +2
baru
  • baru
now can you find y?
baru
  • baru
y=?
abbycross167
  • abbycross167
2? I'm sorry if I get it wrong.. I'm not very good at math
baru
  • baru
thats ok :). it gets better with practice
baru
  • baru
yes it is 2. but can you tell me how ?
baru
  • baru
y= -3x + 2 here 3x actually means \(3 \times x\)
abbycross167
  • abbycross167
Umm I just did this~ -3(0)+2
baru
  • baru
^you understood what i just said?
abbycross167
  • abbycross167
yes sir/ma'am
baru
  • baru
lol... i'm a guy, but dont cal me sir
baru
  • baru
when i say substitute x=0, you just have to write 0 in place of x y= -3x +2 y=-3(0) +2 y=0 +2 (because 0 multiplied with any number is zero) y=2
baru
  • baru
followed?
abbycross167
  • abbycross167
yes
baru
  • baru
ok, now y=2 is the y intercept in other words, its the point where the line cuts the y axis
baru
  • baru
on your graph sheet, mark the x axis and y axis
baru
  • baru
@abbycross167
abbycross167
  • abbycross167
Ok I'm sorry I have slow WiFi. y= 2 and x=0?
baru
  • baru
yes exactly, mark that point in yellow
baru
  • baru
done with that?
abbycross167
  • abbycross167
yes sir
baru
  • baru
XD no 'sir'
abbycross167
  • abbycross167
haha sorry
baru
  • baru
|dw:1449497884398:dw|
baru
  • baru
|dw:1449497941544:dw|
baru
  • baru
i've marked the point with a circle, does your graph look similar
baru
  • baru
?
abbycross167
  • abbycross167
yes
baru
  • baru
ok, now we will find 'x intercept' y=-3x + 2 so substitute y=0 what do you get?
abbycross167
  • abbycross167
is 'x' still 0?
baru
  • baru
no, to find x intercept, we start fresh, so leave 'x' as x
baru
  • baru
lets go step by step substitute y=0 in the equation, write what you get
abbycross167
  • abbycross167
0=-3x+2?
baru
  • baru
yes perfect now, we need to solve this equation and find 'x'
baru
  • baru
do you know how to do that?
abbycross167
  • abbycross167
umm not really
baru
  • baru
ok, the rule for solving equations is, you can do anything you want; add numbers or subtract or multiply or divide, but what ever you do, you have to do it to BOTH sides of the equation
baru
  • baru
0=-3x + 2 first, subtract 2 from BOTH SIDES of the equation write what you get
abbycross167
  • abbycross167
-3-2+2-2=-5?
baru
  • baru
no, leave everything as is, do not remove x 0 = -3x + 2 subtract 2 from both sides 0\(-2\)=-3x +2 \(-2\)
baru
  • baru
do you understand what i just did?
abbycross167
  • abbycross167
umm I think so... Is it -3?
baru
  • baru
no... we are not there yet 0-2= -3x + 2 -2 can you simplify this a little there is 2-2 on the right side of the equation
abbycross167
  • abbycross167
2-2=0... so that just leaves me with -3x?
baru
  • baru
correct!!, you are left with just -3x ON THE RIGHT SIDE OF THE EQUATION what is on the left side?
abbycross167
  • abbycross167
2? or -2?
baru
  • baru
0-2=-2 so now can you write the whole equation after simplifying 0-2 and 2-2 ?
abbycross167
  • abbycross167
I'll try
baru
  • baru
like you said ON THE RIGHT SIDE we are left with just -3x ON THE LEFT SIDE we have -2 so what is the equation now?
abbycross167
  • abbycross167
would it just be -3x-2 ?
baru
  • baru
0-2= -3x + 2 -2 i am just asking you to simplify this 0-2 is -2 2-2 is 0 -2=-3x +0 -2= -3x
abbycross167
  • abbycross167
oo ok
baru
  • baru
so now we have -2 = -3x divide BOTH SIDES OF THE EQUATION BY -3 what do you get?
abbycross167
  • abbycross167
-2 divided by -3=1.5 -3 divided by -3=1 ?
baru
  • baru
yes!!!
baru
  • baru
very good :) now write that in the the equation
abbycross167
  • abbycross167
1.5=1x?
baru
  • baru
yes, excellent! you are catching on
baru
  • baru
you know that 1 multiplied with any number is the same number so 1x is just x
baru
  • baru
oh sorry, i didnt notice, -2 divided by -3 is not 1.5, its 0.67 its just a minor mistake...but your step are correct
baru
  • baru
so can you correct that, and use what i just said about 1x and re-write the equation
abbycross167
  • abbycross167
ok so the equation would be 0.67=1x?
baru
  • baru
yes and 1x=x so the equation is 0.67=x congratulations, you have solved the equation and found x. :)
abbycross167
  • abbycross167
aww awesome!! Thank you soo much for your help!
baru
  • baru
now x=0.67 is your "x intercept"
abbycross167
  • abbycross167
the points that need to be on the graph are 1 and 0.67 or 2 and -3?
baru
  • baru
no, dont do any of that now x=0.67 is you x intercept, its where the line cuts the x axis. so now on your graph, mark y=0 ,x=0.67
baru
  • baru
|dw:1449500338641:dw|
baru
  • baru
can you show me roughly, where that might be?
abbycross167
  • abbycross167
|dw:1449500374380:dw|
baru
  • baru
yes :D mark that point in red
abbycross167
  • abbycross167
okay! And I connect the points with a blue line?
baru
  • baru
EXACTLY!! :D
baru
  • baru
congratulations!! you have solved the problem. heres a summary: we found "y intercept by substituting x=0" and we plotted this on the graph we found "x intercept by substituting y=0" and we plotted this too on the graph we drew the line, by just connecting these two points
abbycross167
  • abbycross167
Great thank you! I have a few more problems like this would you mind helping me or checking what I figure out?
baru
  • baru
well, i have to go now. do this, close this post, and open a new one. post your other problems, and show how the steps you have followed in your attempt, if you show your work, people will be more than happy to confirm or correct you. if you dont show your steps, people will think you are cheating and hesitate to answer. and do tag me... i'll have a look when i'm free :D
baru
  • baru
bye :)

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