Question

How do you find the x and y intercept and slope of `Y=1/2x+6`?

Answer 1

The `y`-intercept is at (`0,6`), and the `x`-intercept is at (`-12,0`).

Explanation:

The "slope-intercept" form of a straight line equation is

`y = mx + b`,

where `m` is the slope and `b` is the `y`-intercept.

Your equation is

`Y = 1/2x +6`

If we compare the two equations, we see that `b = 6`.

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

To get the `x`-intercept, we set `Y = 0` and solve for `x`.

`Y = 1/2x + 6`

`0 = 1/2x + 6`

`0 = x + 12`

`x = -12`

The `x`-intercept is at (`-12,0`).