Question

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

Explanation:

Step1: Recall slope formula

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

Step2: Calculate Line 1 (blue) slope

Pick points: $(0, 0)$ and $(2, -4)$.
$m_1 = \frac{-4 - 0}{2 - 0} = \frac{-4}{2} = -2$

Step3: Calculate Line 2 (red) slope

Pick points: $(0, -4)$ and $(2, 0)$.
$m_2 = \frac{0 - (-4)}{2 - 0} = \frac{4}{2} = 2$

Step4: Calculate Line 3 (green) slope

Pick points: $(0, 0)$ and $(4, 2)$.
$m_3 = \frac{2 - 0}{4 - 0} = \frac{2}{4} = \frac{1}{2}$

Answer:

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

The incorrect original answer was the slope for Line 1 (blue), which was incorrectly stated as $\frac{1}{2}$ instead of $-2$.