Question

Graph the linear equation y=−3x+2
.

Answer 1

The line y = −3x + 2 has slope m = −3 and y‑intercept b = 2.

Points to plot:
- y‑intercept: (0, 2)
- Using slope −3 (rise −3, run 1): (1, −1), (2, −4)
- Another point: (−1, 5)
- x‑intercept: set y=0 → x = 2/3, so (2/3, 0)

How to graph:
1. Plot (0,2).
2. From (0,2) move right 1 and down 3 to plot (1,−1) (or left 1 and up 3 to plot (−1,5)).
3. Draw a straight line through the points; that is the graph of y = −3x + 2.

If you want, I can produce an image of the graph.