Question

Solve this system of equations by graphing. First graph the equations, and then type the solution.
x–2y=8
y=–1/2x
describe exact points to plot for both equations.

Answer 1

First put both lines in slope-intercept form.

x − 2y = 8 → 2y = x − 8 → y = (1/2)x − 4.
y = −(1/2)x (already).

Exact points to plot:

- For y = (1/2)x − 4 (x − 2y = 8): (0, −4) (y‑intercept), (8, 0) (x‑intercept), and (4, −2).
- For y = −(1/2)x: (0, 0) (origin), (2, −1), and (4, −2).

Draw each line through its points. The lines meet at (4, −2), so the solution is (4, −2).