Question

How do you graph `x-y=7` by plotting points?

Answer 1

Convert the equation to slope-intercept form. Determine two points. Plot the points and draw a straight line through the points.

Explanation:

Rearrange the equation to slope-intercept form, `y=mx+b`, where `m` is the slope and `b` is the y-intercept.

`x-y=7`

Subtract `x` from both sides.

`-y=-x+7`

Multiply both sides by `-1`.

`y=x-7`

Since this is a linear equation, only two points are needed.

Table of Points
`x=0,` `y=-7` (y-intercept)
`x=7,` `y=0` (x-intercept)

Plot the points on a graph and draw a straight line through the points.

graph{y=x-7 [-10, 10, -5, 5]}