Question

How do you find the x and y intercepts for `3x – 2y = 15`?

Answer 1

The `y`-intercept is `(0,-15/2)` and the `x`-intercept is (5,0).

Explanation:

Set one variable to zero and solve for the other.

Setting `x=0` will give the `y`-intercept:
`3(0)-2y=15`
`-2y=15`
`y = -15/2`

Setting `y=0` will give the `x`-intercept:
`3x-2(0)=15`
`3x=15`
`x=5`

Hence, the `y`-intercept is `(0,-15/2)` and the `x`-intercept is (5,0).