Question

use the graph, given above, to find the slope of each line.
a) slope of line 1 (blue) = (\boldsymbol{\frac{1}{2}})
b) slope of line 2 (red) = (\boldsymbol{square})
b) slope of line 3 (green) = (\boldsymbol{-2})

Explanation:

Step1: Recall slope formula

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

Step2: Calculate Line 1 (blue) slope

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

Step3: Calculate Line 2 (red) slope

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

Step4: Calculate Line 3 (green) slope

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

Answer:

a) Slope of Line 1 (blue) = $-2$
b) Slope of Line 2 (red) = $2$
c) Slope of Line 3 (green) = $\frac{1}{2}$