Question

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

Explanation:

Step1: Identify two points on line

Choose points $(0, -1)$ and $(3, 1)$

Step2: Calculate slope via rise over run

Slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-1)}{3 - 0} = \frac{2}{3}$

Step3: Find y-intercept point

The y-intercept is where $x=0$, which is $(0, -1)$

Answer:

The slope of the line is $\frac{2}{3}$, and the y-intercept is the point $(0, -1)$