Question

graph the following features: • y-intercept = 2 • slope = $-\frac{2}{3}$

Explanation:

Step1: Plot y-intercept point

The y-intercept is 2, so plot the point $(0, 2)$ on the coordinate plane.

Step2: Use slope to find second point

Slope $m = -\frac{2}{3} = \frac{\text{rise}}{\text{run}}$. From $(0,2)$, move down 2 units and right 3 units to get the point $(3, 0)$.

Step3: Draw the straight line

Connect the points $(0, 2)$ and $(3, 0)$ with a straight line, extending it across the coordinate plane.

Answer:

A straight line passing through the points $(0, 2)$ and $(3, 0)$ (and extending infinitely in both directions) is the required graph.