Question

What is the slope of the line passing through the points (2, 5) and (-1, -4)? Show all your work.

Answer 1

Answer:

Slope = 3

Step-by-step explanation:

The slope is the Rise/Run

Given the two points (-1,-4) and (2,5) we can calculate both the Rise and the Run:

Rise = (5 - (-4)) = 9

Run = (2 - (-1)) = 3

Slope is Rise/Run

(9/30) = 3

It is the "m" in y = mx + b

The actual equation is y = 3x + 1.  Use one of the 2 points and solve for b to find that it equals -1.

y = 3x - 1  for (2,5)

5 = 3(2) - 1 ?

5 = 5  Yes