Question

What is the equation of the line that passes

through the points (3, -10) and (-8, –4)?
Show your work here

Answer 1

Explanation:

First, find the slope of the line for the two points.

Slope is Rise/Run.

For the two points (-8,-4) and (3,-10):

Rise (-10 - (-4)) = -6

Run (3 - ( -8)) = 11

The slope is Rise/Run or -(6/11)

The equation becomes y = -(6/11)x + b

Find b by entering either of the 2 points given. I'll use (3,-10):

y = -(6/11)x + b

-10 = -(6/11)(3) + b

b = -10 + (6/11)(3)

b = -10 +(18/11)

b = -(110/11) + (18/11)

b = -(92/11)

The equation becomes y = -(6/11)x - (92/11)

See attached graph.