Question

How do you find the x and y intercept of `5x-y=35`?

Answer 1

See the entire process below:

Explanation:

To find the x-intercept substitute `color(red)(0)` for `color(red)(y)` and solve for `x`:

`5x - color(red)(y) = 35` becomes:

`5x - color(red)(0) = 35`

`5x = 35`

`(5x)/color(red)(5) = 35/color(red)(5)`

`(color(red)(cancel(color(black)(5)))x)/cancel(color(red)(5)) = 7`

`x = 7`

To find the y-intercept substitute `color(red)(0)` for `color(red)(x)` and solve for `y`:

`5color(red)(x) - y = 35` becomes:

`(5 xx color(red)(0)) - y = 35`

`0 - y = 35`

`-y = 35`

`color(red)(-1) xx - y = color(red)(-1) xx 35`

`y = -35`

The x-intercept is `7` or (7, 0)

The y-intercept is `-35` or (0, -35)