what is an equation of the line that passes through the points (4,-6) and (8,-4)

Answer 1

Hi Brooke - first you must find the slope using the slope formula.

y₂ − y₁

−−−−−−

x₂ − x₁

-4 - (-6)

______ = 2/4 = 1/2

8 - 4

once you have your slope, you can plug it into the equation y = mx + b, while at the same time plugging in one of your points. This will give you your b value.

-4 = 1/2 (8) + b

Now solve for b, and you will be able to write your equation in y = mx + b form

Answer 2

Use two-point form

(y + 6) / (x - 4) = (-4 + 6) / (8 - 4)