Question

How do you find the x and y intercepts of `g(x)=0.5x-3`?

Answer 1

To find the `x`- intercept, we set `y=0` and solve for `x`:
`0=.5x-3`
`3=.5x`
`6=x`

So. the `x`-intercept is `(6, 0)`

To find the `y`-intercept, it's a similar system We set `x=0` and solve for `y` this time.
`y=.5*0-3`
`y=-3`
That was easy :)

So, our `y`-intercept is `(0, -3)`

Just to double check our work, let's graph the equation and see the `x` and `y` intercepts

graph{y=.5x-3}

Yep, `(6, 0)` and `(0, -3)`. We were right!