Question

Answer as many as you can please (write in slope-intercept form)

Passes through (-3, 6)
with a slope of -2.

passes through (-6, 13) and (3, 1)

passes through (-4, -7) with a slope of -1/2

passes through (1, 2) and (3, -8)

Answer 1

Answer: See below

Explanation:

For the first one, we are already given our slope. All we need to do is find the y-intercept, b.

y=-2x+b

6=-2(-3)+b

6=6+b

b=0

The slope-intercept form is y=-2x.

For the second one, we need to first find the slope using
`m=(y_(2)-y_(1) )/(x_(2)-x_(1) )`.

`m=(1-13)/(3-(-6)) =(-12)/(9)`

Now that we have our slope, we can plug it into our slope-intercept form to solve for b.

`y=-(12)/(9) x+b`

`3=-(12)/(9)(1)+b`

`-(9)/(4) =b`

The slope-intercept form is
`y=-(12)/(9) -(9)/(4)`.

For the third one, we are already given the slope, so all we have to do is find b.

`y=-(1)/(2)x +b`

`-7=-(1)/(2) (-4)+b`

`-7=2+b`

`-9=b`

The slope-intercept form is
`y=-(1)/(2) x-9`.

For the last one, we need to first find the slope using
`m=(y_(2)-y_(1) )/(x_(2)-x_(1) )`.

`m=(-8-2)/(3-1)=(-10)/(2) =-5`

Now that we have our slope, we can plug it into our slope-intercept form and find b.

`y=-5x+b`

`2=-5(1)+b`

`2=-5+b`

`7=b`

Our slope-intercept form is
`y=-5x+7`.