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) = 1
c) slope of line 3 (green) = -2

Explanation:

Step1: Recall slope formula

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

Step2: Pick points for Line 2 (red)

Choose two clear points on Line 2: $(0, 1)$ and $(4, -1)$

Step3: Calculate slope for Line 2

$m = \frac{-1 - 1}{4 - 0} = \frac{-2}{4} = -\frac{1}{2}$

Answer:

Slope of Line 2 (red) = $-\frac{1}{2}$