Question

Graph the linear equation y=2x−2

Answer 1

To graph y = 2x − 2:

1. Identify slope and intercept:
- Slope (m) = 2 (rise/run = 2/1).
- y-intercept = (0, −2).

2. Find a couple of points:
- x = 0 → y = −2 → (0, −2)
- x = 1 → y = 0 → (1, 0) (x‑intercept)
- x = 2 → y = 2 → (2, 2)
- x = −1 → y = −4 → (−1, −4)

3. Plot those points on the coordinate plane and draw a straight line through them. Because the slope is 2, from any point move up 2 and right 1 to get another point on the line.

(If you want, paste these points into Desmos or another graphing tool to see the line quickly.)