Question

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

Explanation:

Step1: Write line equation

Use slope-intercept form $y=mx+b$, where $m=-\frac{2}{3}$ (slope) and $b=-2$ (y-intercept):
$y = -\frac{2}{3}x - 2$

Step2: Plot y-intercept

The y-intercept is $(0, -2)$; mark this point on the graph.

Step3: Use slope for second point

Slope $\frac{\Delta y}{\Delta x}=-\frac{2}{3}$: from $(0,-2)$, move 3 right, 2 down to $(3, -4)$, or 3 left, 2 up to $(-3, 0)$. Mark this second point.

Step4: Draw the straight line

Connect the two marked points and extend the line across the grid.

Answer:

The line $y = -\frac{2}{3}x - 2$ is graphed by plotting the y-intercept $(0, -2)$, a second point such as $(3, -4)$ or $(-3, 0)$, and drawing a straight line through these points.