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

- abbycross167

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- abbycross167

@Directrix Can you try to help me? Please?

- baru

hi

- baru

you will need graph paper

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## More answers

- abbycross167

okay @baru I have a graph that I have to put it on

- baru

first we will find "y intercept"
y intercept is where the graph of the line cuts the y axis

- baru

y=-3x + 2
to find y intercept; just substitute x=0 in the above equation
what do you get?

- abbycross167

-1?

- baru

how did you get -1
i said substitute x=0 in the equation of the line,
can you show your steps please

- abbycross167

umm like this ~ -3+2

- baru

y=-3x +2
substitute x=0 means:- write '0' in place of x
y=-3(0) +2

- baru

now can you find y?

- baru

y=?

- abbycross167

2? I'm sorry if I get it wrong.. I'm not very good at math

- baru

thats ok :). it gets better with practice

- baru

yes it is 2.
but can you tell me how ?

- baru

y= -3x + 2
here 3x actually means \(3 \times x\)

- abbycross167

Umm I just did this~ -3(0)+2

- baru

^you understood what i just said?

- abbycross167

yes sir/ma'am

- baru

lol... i'm a guy, but dont cal me sir

- 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

followed?

- abbycross167

yes

- baru

ok, now
y=2 is the y intercept
in other words, its the point where the line cuts the y axis

- baru

on your graph sheet, mark the x axis and y axis

- baru

@abbycross167

- abbycross167

Ok I'm sorry I have slow WiFi. y= 2 and x=0?

- baru

yes exactly, mark that point in yellow

- baru

done with that?

- abbycross167

yes sir

- baru

XD no 'sir'

- abbycross167

haha sorry

- baru

|dw:1449497884398:dw|

- baru

|dw:1449497941544:dw|

- baru

i've marked the point with a circle, does your graph look similar

- baru

?

- abbycross167

yes

- baru

ok,
now we will find 'x intercept'
y=-3x + 2
so substitute y=0
what do you get?

- abbycross167

is 'x' still 0?

- baru

no, to find x intercept, we start fresh, so leave 'x' as x

- baru

lets go step by step
substitute y=0 in the equation, write what you get

- abbycross167

0=-3x+2?

- baru

yes perfect
now, we need to solve this equation and find 'x'

- baru

do you know how to do that?

- abbycross167

umm not really

- 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

0=-3x + 2
first, subtract 2 from BOTH SIDES of the equation
write what you get

- abbycross167

-3-2+2-2=-5?

- baru

no, leave everything as is, do not remove x
0 = -3x + 2
subtract 2 from both sides
0\(-2\)=-3x +2 \(-2\)

- baru

do you understand what i just did?

- abbycross167

umm I think so... Is it -3?

- 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

2-2=0... so that just leaves me with -3x?

- baru

correct!!, you are left with just -3x ON THE RIGHT SIDE OF THE EQUATION
what is on the left side?

- abbycross167

2? or -2?

- baru

0-2=-2
so now can you write the whole equation after simplifying 0-2 and 2-2 ?

- abbycross167

I'll try

- 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

would it just be -3x-2 ?

- 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

oo ok

- baru

so now we have
-2 = -3x
divide BOTH SIDES OF THE EQUATION BY -3
what do you get?

- abbycross167

-2 divided by -3=1.5
-3 divided by -3=1
?

- baru

yes!!!

- baru

very good :)
now write that in the the equation

- abbycross167

1.5=1x?

- baru

yes, excellent! you are catching on

- baru

you know that 1 multiplied with any number is the same number
so 1x is just x

- 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

so can you correct that, and use what i just said about 1x and re-write the equation

- abbycross167

ok so the equation would be 0.67=1x?

- baru

yes and 1x=x
so the equation is
0.67=x
congratulations, you have solved the equation and found x. :)

- abbycross167

aww awesome!! Thank you soo much for your help!

- baru

now
x=0.67 is your "x intercept"

- abbycross167

the points that need to be on the graph are 1 and 0.67 or 2 and -3?

- 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

|dw:1449500338641:dw|

- baru

can you show me roughly, where that might be?

- abbycross167

|dw:1449500374380:dw|

- baru

yes :D
mark that point in red

- abbycross167

okay! And I connect the points with a blue line?

- baru

EXACTLY!! :D

- 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

Great thank you! I have a few more problems like this would you mind helping me or checking what I figure out?

- 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

bye :)

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