Answer:
1/3
Step-by-step explanation:
Method 1.
slope = rise/run
Rise is vertical distance.
Run is horizontal distance.
Find two points that are easy to read (on grid intersections):
(2, -1) and (5, 0).
Start at (2, 1). You need to go to (5, 0) by moving only vertically and horizontally. Go up 1 unit. That is a rise of 1. Now go right 3 units. That is a run of 3.
rise = 1
run = 3
slope = rise/run = 1/3
Method 2.
Use the slope formula and two points on the line.
[tex] slope = m = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]
Use points (2, -1) and (5, 0).
[tex] slope = m = \dfrac{0 - (-1)}{5 - 2} [/tex]
[tex] slope = m = \dfrac{0 + 1}{3} [/tex]
[tex] slope = m = \dfrac{1}{3} [/tex]
slope = 1/3
