Question

What is the slope of the line that passes through the points (8,-6) and (11,-12)? write the answer in simplest form.​

Answer 1

y = -2x + 10

Explanation:

The equation is y = mx + b

1. Find the slope first.

--> (y2 - y1) / (x2 - x1) = slope

--> (-12 - -6) / (11 - 8) = (-6) / (3) = -2

2. Then, find the y-intercept (b) by plugging one of the points

--> y = -2x + b

--> -6 = -2(8) + b

--> -6 = -16 + b

--> b = 10

3. Combine

--> y = -2x + 10