Question

Graph the line with the equation y=− 3 / 1 x+2.

Answer 1

First simplify: y = −3/1 x + 2 is y = −3x + 2.

Key features
- Slope = −3 (down 3 for every 1 to the right)
- y-intercept = 2 (point (0, 2))
- x-intercept: set y = 0 → 0 = −3x + 2 → x = 2/3, so (2/3, 0)

Points to plot
- (0, 2)
- (1, −1) (from (0,2) go right 1, down 3)
- (2, −4)
- (−1, 5)

Graphing steps
1. Plot the y-intercept (0,2).
2. From that point use the slope: move right 1 and down 3 to plot (1,−1); repeat for (2,−4), or move left 1 and up 3 to get (−1,5).
3. Draw a straight line through the plotted points — that is the graph of y = −3x + 2.

If you want, I can generate and show an image of the graph.