Question

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.

y = x - 5

Answer 1

Step 1: Find some points on the line by picking values for one variable, and finding the other:
y = x-5 ; y = 0
0 = x - 5
x = 5
(5, 0)

y = x - 5 ; x = 0
y = 0 - 5
y = -5
(0, -5)

Step 2: Draw it!

Quick tips for future:
- Symmetric about the x-axis (for a line) means that the equation of the line is of the form \(y=k\)
- Symmetric about the y-axis (for a line) means that the equation of the line is of the form \(x=k\)
- Symmetric about the origin (for a line) means that the equation of the line is of the form \(y=kx\)