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) =

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, e.g., $(0, 2)$ and $(4, 0)$.

Step3: Calculate slope of Line 2

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

Answer:

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