Question

graph the equation $y = -\frac{2}{3}x - 1$. next, identify the slope. slope: blank (with a coordinate grid and a number pad shown)

Explanation:

Step1: Recall slope-intercept form

The slope-intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Step2: Match given equation to form

The given equation is $y = -\frac{2}{3}x - 1$. Comparing to $y = mx + b$, we identify $m = -\frac{2}{3}$.

Answer:

$-\frac{2}{3}$

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For graphing context (additional clarification):
The y-intercept is $-1$ (the point $(0, -1)$ already marked). To graph, from $(0, -1)$, move 2 units down and 3 units right (or 2 units up and 3 units left) to plot additional points, then draw a straight line through them. But the direct answer for the slope is as above.