graph the line.\ny = 3x - 7

Explanation:

Step1: Find the y - intercept

The equation is in slope - intercept form $y = mx + b$, where $b$ is the y - intercept. For $y=3x - 7$, when $x = 0$, $y=-7$. So the y - intercept is the point $(0,-7)$.

Step2: Find the x - intercept

Set $y = 0$. Then $0=3x - 7$. Solving for $x$: $3x=7$, so $x=\frac{7}{3}\approx2.33$. The x - intercept is the point $(\frac{7}{3},0)$.

Step3: Plot the points and draw the line

Plot the points $(0,-7)$ and $(\frac{7}{3},0)$ on the coordinate plane and draw a straight line passing through them.

Answer:

Plot the points $(0,-7)$ and $(\frac{7}{3},0)$ and draw a straight line through them to graph $y = 3x-7$.