Question

Graph this line using the slope and y-intercept:
y = 9/8x – 5

what are the points on a graph?

Answer 1

The line y = (9/8)x − 5 has:
- y-intercept: (0, −5) — start here.
- Slope: 9/8 — rise 9 for run 8.

Points you can plot (use the intercept and slope):
- (0, −5)
- Move right 8 and up 9 → (8, 4)
- Move left 8 and down 9 → (−8, −14)
- Move right 16 and up 18 → (16, 13)

x-intercept (where y=0): 0 = (9/8)x − 5 ⇒ x = 40/9 ≈ 4.444..., so (40/9, 0).

Plot any two of these points and draw the straight line through them.