Question

(12,-9) and (-2,-2) in slope intercept form and if u want the points please explain how u got it

Answer 1

`y= -(1)/(2) x-3`

Explanation:

Slope intercept form :

y = mx + b

m is the slope

b is the y-intercept

Let's look for m, use the formula
`((y_(1)-y_(2) ) )/((x_(1) -x_(2) ))` to determine it.

`(-9 - (-2))/(12 - (-2))`
`= -(1)/(2)`

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

Now find b, we simply need to plug in one of our coordinates to get our answer.

(12, -9)

`-9=-(1)/(2) (12)+b`

Solve for b :

-9 = -6 + b

-3 = b

b = -3

Our slope intercept is :

`y = -(1)/(2)x - 3`