graph the line with the equation y = 5x - 2.

Explanation:

Step1: Find the y - intercept

The equation is in slope - intercept form $y = mx + b$, where $b$ is the y - intercept. For $y = 5x-2$, when $x = 0$, $y=-2$. So the line crosses the y - axis at the point $(0, - 2)$.

Step2: Find the slope

The slope $m = 5=\frac{5}{1}$. From the y - intercept $(0,-2)$, use the slope to find another point. Since the slope is $\frac{\text{rise}}{\text{run}}=\frac{5}{1}$, from the point $(0,-2)$, move 1 unit to the right (run) and 5 units up (rise). We get the point $(1,3)$.

Step3: Draw the line

Plot the points $(0,-2)$ and $(1,3)$ on the coordinate plane and draw a straight line passing through them.

Answer:

Plot the points $(0,-2)$ and $(1,3)$ and draw a straight - line through them.