graph the line.\ny = 3x - 8

Explanation:

Step1: Find the y - intercept

The equation is in slope - intercept form $y = mx + b$, where $b$ is the y - intercept. For $y = 3x-8$, when $x = 0$, $y=-8$. So the y - intercept is the point $(0,-8)$.

Step2: Find the x - intercept

Set $y = 0$. Then $0=3x - 8$. Solving for $x$: $3x=8$, so $x=\frac{8}{3}\approx2.67$. The x - intercept is the point $(\frac{8}{3},0)$.

Step3: Plot the points and draw the line

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

Answer:

Graph the line passing through $(0,-8)$ and $(\frac{8}{3},0)$ on the given coordinate grid.