Question

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

Explanation:

Step1: Identify slope and y-intercept

The equation $y=2x-2$ follows the slope-intercept form $y=mx+b$, where $m=2$ (slope) and $b=-2$ (y-intercept, the point $(0,-2)$).

Step2: Plot the y-intercept

Mark the point $(0, -2)$ on the coordinate plane.

Step3: Use slope to find a second point

Slope $m=2=\frac{2}{1}$, meaning from $(0,-2)$, move 1 unit right and 2 units up to get the point $(1, 0)$. Mark this point.

Step4: Draw the line

Connect the two points $(0,-2)$ and $(1,0)$ with a straight line, extending it across the coordinate plane.

Answer:

The line passes through points $(0, -2)$ and $(1, 0)$, extending infinitely in both directions on the coordinate plane.