Question

Find an equation for the line that passes through the points (-6, -6) and (4,2).

Answer 1

use the slope formula y2-y1/x2-x1

2-(-6)/4-(-6) = 4/5

Then,

Solve for b by using one of the points to substitute x and y.

y = mx + b --> 2 = 4/5(4) + b

2 = 4/5(4) + b

The equation for the line that passes through both points is:

y = 4/5x - 1.2

Answer 2

y-(-6)=8/10(x-(-6)

Explanation:

Using slope point formula (y-y1=m(x-x1)) we can sue the given coordinates to fill in the equation.

y1=-6 x1=-6

Substitute into the equation: y-(-6)=m(x-(-6))

Next we have to find slope using slope formula (y2-y1/x2-x1) 2-(-6)/4-(-6)=8/10

Substitute in for m: y-(-6)=8/10(x-(-6))

You now have the completed equation!

-Hope this helped