Question

How do you find x and y intercepts of `-5x + 6y = 30`?

Answer 1

See the entire solution process below:

Explanation:

To find the y-intercept, set `x = 0` and solve for `y`:

`-5x + 6y = 30` becomes:

`(-5 xx 0) + 6y = 30`

`0 + 6y = 30`

`6y = 30`

`(6y)/color(red)(6) = 30/color(red)(6)`

`(color(red)(cancel(color(black)(6)))y)/cancel(color(red)(6)) = 5`

`y = 5`

The y-intercept is `y = 5` or `(0, 5)`

To find the x-intercept, set `y = 0` and solve for `x`:

`-5x + 6y = 30` becomes:

`-5x + (6 xx 0) = 30`

`-5x + 0 = 30`

`-5x = 30`

`(-5x)/color(red)(-5) = 30/color(red)(-5)`

`(color(red)(cancel(color(black)(-5)))x)/cancel(color(red)(-5)) = -6`

`x = -6`

The x-intercept is `x = -6` or `(-6, 0)`