Question

Graph

\[y=\dfrac{5}{3}x-9\].

Answer 1

To graph y = (5/3)x − 9:

1. Identify key information
- Slope = 5/3 (rise 5, run 3).
- y‑intercept = (0, −9).
- x‑intercept: set y = 0 → (5/3)x − 9 = 0 → x = 27/5 = 5.4, so x‑intercept = (27/5, 0).

2. Plot points (use the intercept and slope to get more integer points)
- (0, −9)
- Move right 3 and up 5 from (0, −9) → (3, −4)
- Again move right 3 and up 5 → (6, 1)
- Also you can go left 3 and down 5 → (−3, −14)

3. Draw a straight line through those points. The domain and range are all real numbers.

If you want, I can produce a plotted image of the line. Which would you prefer?