Question

How do you graph `2x-y=6` using intercepts?

Answer 1

`x-`intercept: `(3, 0)`
`y-`intercept: `(0, -6)`

Explanation:

To find `x-`intercepts set `y = 0` and solve for `x`:
`2x - 0 = 6`
`2x = 6`
`x = 6/2 = 3`
`x-`intercept is `(3, 0)`

To find `y-`intercepts, set `x = 0` and solve for `y`:
`-y = 6`
`y = -6`
`y-`intercept is `(0, -6)`

Plot these two points and draw a line that goes through them:

graph{2x-6 [-8.96, 11.04, -7.4, 2.6]}