Question

Write the slope-intercept form of the equation of the line that passes through (-3,1) and is parallel to to the line represented by y=-2/3x - 5.

Answer 1

yes

Answer 2

So slope-intercept form is y=mx+b. if your line needs to cross through (-3,1) and be parallel to y=-2/3x-5 you need to set up an equation.

Start with the parallel part.
If two lines are parallel, they MUST have the same slope. So what would your slope be?

Answer 3

yes, thanks

Answer 4

what about this? Write the slope-intercept form of the equation of the line that passes through (4,2) an is parallel to the line represented by -2x+ y=7

Answer 5

Did you finish the first one?

Answer 6

yes

Answer 7

You do the same thing for this one, but you have to get the original equation into slope intercept form. It would be y=2x+7.
Since they have to have the same slope to be parallel, your new equation would be
y=2x+b
Now plug in your point.
2=2(4)+b
multiply
2=8+b
subtract the 8
-6=b

so your equation is y=2x-6

Answer 8

thank you so much!

Answer 9

No problem glad I could help