Question

How do you find the slope and intercept to graph `y=1/2x-4`?

Answer 1

The slope of the line `y = 1/2x -4` is `1/2`, the y-intercept is `-4`, and the x-intercept is `8`.

Explanation:

When a linear equation is in the form `y = mx + b`, the slope is `m`. In this case, the slope is the coefficient of `x` which is `1/2`.

To find the y-intercept, substitute `0` for `x`:
`y = 1/2*0 -4`
`y = -4`
The y-intercept is `-4`.

To find the x-intercept, substitute `0` for `y`:
`0 = 1/2x -4`
`1/2x = 4`
`x = 8`
The x-intercept is `8`.