Question

How do you find the x and y intercept of `3 = 7x + -5y`?

Answer 1

See the entire solution process below:

Explanation:

To find the `x` and `y` intercept you substitute `0` for one of the variables and solve for the other variable.

x-intercept:

Substitute `0` for `y` and solve for `x`

`3 = 7x + (-5 * 0)`

`3 = 7x + 0`

`3 = 7x`

`3/color(red)(7) = (7x)/color(red)(7)`

`3/7 = (color(red)(cancel(color(black)(7)))x)/cancel(color(red)(7))`

`3/7 = x`

The x-intercept is: `3/7` or `(3/7, 0)`

y-intercept:

Substitute `0` for `x` and solve for `y`

`3 = (7 * 0) + -5y`

`3 = 0 - 5y`

`3 = -5y`

`3/color(red)(-5) = (-5y)/color(red)(-5)`

`3/-5 = (color(red)(cancel(color(black)(-5)))y)/cancel(color(red)(-5))`

`-3/5 = y`

The y-intercept is: `-3/5` or `(0, -3/5)`