Question

What are the coordinates of the `x`-intercept of `-5y=4-2x`?

Answer 1

See a solution process below:

Explanation:

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

`-5y = 4 - 2x` becomes:

`-5 xx 0 = 4 - 2x`

`0 = 4 - 2x`

`-color(red)(4) + 0 = -color(red)(4) + 4 - 2x`

`-4 = 0 - 2x`

`-4 = -2x`

`(-4)/color(red)(-2) = (-2x)/color(red)(-2)`

`2 = (color(red)(cancel(color(black)(-2)))x)/cancel(color(red)(-2))`

`2 = x`

Therefore the coordinates of the `x`-intercept are: `(2, 0)`