Question

How do you graph `y=1/3x-4` using intercepts?

Answer 1

The `y` intercept is when `x=0`

`y=1/3x-4` `=>` `y=1/3(0)-4` `=>` `y=-4`

When `x=0`, `y` is `-4`, so you have the point `(0,-4)`

The `x` intercept is when `y=0`

`y=1/3x-4` `=>` `0=1/3x-4`

`1/3x=4` `=>` `cancel(3*1/3)x=4*3`

`x=12`

When `y=0`, `x` is `12`, so you have the point `(12, 0)`

You have these two points, plot them in the graph and connect them by a straight line extended beyond them. By this you have done the graphing by using intercepts.