Question

from the graph below, the slope of the line is , and the y-intercept is the point ( 0 , 2 ).

Explanation:

Step1: Identify two points on line

Choose points $(-5, 0)$ and $(0, 2)$

Step2: Calculate slope via formula

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{2-0}{0-(-5)}=\frac{2}{5}$

Step3: Confirm y-intercept

Y-intercept is where $x=0$, which is $(0,2)$

Answer:

Slope: $\frac{2}{5}$
Y-intercept: $(0, 2)$