Question

Graph the equation x−y=6
𝑥
−
𝑦
=
6
using the form y=mx+b
𝑦
=
𝑚
𝑥
+
𝑏
.

Answer 1

Start by solving for y:

x − y = 6
−y = 6 − x
y = x − 6

So y = 1·x − 6. Slope m = 1, y-intercept b = −6.

To graph:
- Plot the y-intercept (0, −6).
- Use the slope rise/run = 1/1: from (0, −6) go up 1 and right 1 to (1, −5), then (2, −4), etc.
- The x-intercept is when y = 0: x = 6 → (6, 0).
- Draw a straight line through these points.

Sample points: (0, −6), (1, −5), (2, −4), (6, 0).