Question

use the graph given above to find the slope of each line.
a) slope of line 1 (blue) =
b) slope of line 2 (red) =
c) slope of line 3 (green) =

Explanation:

Step1: Recall slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Calculate slope of Line 2 (blue)

Pick points: $(-2,0)$ and $(2,1)$.
$m = \frac{1 - 0}{2 - (-2)} = \frac{1}{4}$

Step3: Calculate slope of Line 3 (green)

Pick points: $(0,3)$ and $(2,-1)$.
$m = \frac{-1 - 3}{2 - 0} = \frac{-4}{2} = -2$

Answer:

a) Slope of Line 1 (blue): $\frac{1}{4}$
b) Slope of Line 3 (green): $-2$