Question

Graph the system of equations.

{y=x−6y=−4x+4

Use the Line tool to graph the lines.

Answer 1

The two lines are
- y = x − 6 (slope 1, y-intercept (0, −6))
- y = −4x + 4 (slope −4, y-intercept (0, 4))

Intersection (solve x − 6 = −4x + 4):
5x = 10 → x = 2, y = 2 − 6 = −4. So the lines meet at (2, −4).

To draw with the Line tool, give two points for each line:
- For y = x − 6: use (0, −6) and (6, 0).
- For y = −4x + 4: use (0, 4) and (1, 0) (or (2, −4) and (0, 4)).

Plot those points and draw the two lines; they should cross at (2, −4).