Question

How do you graph `-6x+9y=-18`?

Answer 1

`-6x+9y=-18`

This is a linear equation, because the equation does not have any exponents. Graph it by putting the equation into either slope-intercept form `y=mx+b` or point-slope form `y-y_1=m(x-x_1)`.

Isolate y by first adding 6x to each side:
`9y=6x-18`

Divide each side by 9:
`y=2/3x-2`

Now graph the line `y=2/3x-2` by first plotting the y intercept at `(0,-2)`, then connecting points with a slope of `2/3`.

graph{2/3x-2 [-10, 10, -5, 5]}