Question

up/down: -4
right: 6
slope = -4/6 = -2/3

up/down:
right:
slope =

-4/1

council of teachers of mathematics
ns.nctm.org

Explanation:

Step1: Determine vertical change

The line is increasing, so we count the number of units up. From a point on the line, moving to another point, the vertical change (up/down) is 2 (since it goes up 2 units).

Step2: Determine horizontal change

The horizontal change (right) is 6 (moving 6 units to the right).

Step3: Calculate slope

Slope is vertical change over horizontal change, so $\frac{2}{6}=\frac{1}{3}$.

Answer:

Up/down: $2$, Right: $6$, slope = $\frac{1}{3}$