Question

How do you find the x and y intercepts for `4x +3y-7=0`?

Answer 1

`x` intercept is `7/4` and `y` intercept is `7/3`.

Explanation:

For `y=0`,
`color(white)(xx)4x-7=0`
`=>4x-7color(red)(+7)=0color(red)(+7)`
`=>color(red)(1/4xx)4x=color(red)(1/4xx)7`
`=>x=7/4`

Therefore `x` intercept is `7/4`.

For `x=0`,
`color(white)(xx)3y-7=0`
`=>3y-7color(red)(+7)=0color(red)(+7)`
`=>color(red)(1/3xx)3y=color(red)(1/3xx)7`
`=>x=7/3`

Therefore `y` intercept is `7/3`.
graph{(-4x+7)/3 [-10, 10, -5, 5]}