Question

How do you graph the equation `y=-x+5`?

Answer 1

Identify that the equation is linear.

There are no exponents or radicals involved.

You can pick two arbitrary values for `x` and plug them in; plot the points; and draw a line connecting the two.

Or, you can set `x` and then `y` to be equal to `0` and solve to get the two possible intercepts.

`(0)=-x+5`

`x=5`

`P_1=(5,0)`

`y=-(0)+5`

`y=5`

`P_2=(0,5)`

Plot these points and draw a line connecting them:

graph{-x+5 [-6.79, 13.21, -2.28, 7.72]}