Question

What is the y-intercept for the linear equation 3x - 2y = 18?

Answer 1

The y-intercept of `3x-2y=18` is `(-9)`

Explanation:

The y-intercept is the value of y where the line of the equation crosses the y-axis.
For all point on the y-axis, `x=0`
So the y-intercept can be determined by evaluating the equation for y with `x` set to `0`.

`3x-2y = 18`
`color(white)("XXXX")`becomes (with `x=0`)
`3(0) -2y = 18`

`-2y = 18`

`y = -9`