Question

find the slope-intercept form of the equation of the line passing through the point (-3,2) and parallel to the line with the equation 2x+y=7

Answer 1

You know what the slope intercept form is right?\[y = mx + b\]

Answer 2

Isolate the "y" variable on the left side by moving your "x" variable onto the right side

Answer 3

thanks!

Answer 4

Did you get it? I can check for you :)

Answer 5

Also, you're welcome!

Answer 6

i'm still lost

Answer 7

yea, I get that, but then do I have to plug in (-3, 2) into the y= mx+b to find the other slope?

Answer 8

Not the slope. What is the equation you have right now?

Answer 9

we have to find the equation of the line parallel to 2x+y=7

Answer 10

and it must go through (-3,2)

Answer 11

I know that. But parallel lines have the same slope...

Answer 12

right, so 2/1is the slope

Answer 13

so you plug that in for m

Answer 14

So here is the initial line\[ 2x+y=7 \]\[y=7 -2x\] From the equation I gave you, what is the slope? Not +2/1

Answer 15

-2/1

Answer 16

no?

Answer 17

CORRECT!

Answer 18

so would the slope intercept form be\[y=-2x-4\]

Answer 19

wait no!

Answer 20

Since you're given a point that the line you're looking for will pass through, you can solve for b. Insert your points
\[y = mx + b \]\[(+2) = -2(-3) + b\]\[2= 6 + b\]\[? = b \]

Answer 21

\[-4\]

Answer 22

Correct! Now plug in the results into your equation \[y = mx+b\]\[y = -2x -4\]So why did you doubt yourself?

Answer 23

thanks so much!

Answer 24

You're Welcome! :) Anytime