graph the line.\ny = -\\frac{3}{4}x - 2

Explanation:

Step1: Find the y - intercept

The equation is in slope - intercept form $y = mx + b$, where $b$ is the y - intercept. For $y=-\frac{3}{4}x - 2$, $b=-2$. So the line crosses the y - axis at the point $(0,-2)$.

Step2: Find the x - intercept

Set $y = 0$. Then $0=-\frac{3}{4}x - 2$. Add 2 to both sides: $2=-\frac{3}{4}x$. Multiply both sides by $-\frac{4}{3}$: $x=-\frac{8}{3}\approx - 2.67$. So the line crosses the x - axis at the point $(-\frac{8}{3},0)$.

Step3: Plot the points and draw the line

Plot the points $(0,-2)$ and $(-\frac{8}{3},0)$ on the coordinate plane and draw a straight line through them.

Answer:

Plot the points $(0, - 2)$ and $(-\frac{8}{3},0)$ and draw a straight - line through them.