Question

How do you find the slope and intercept of `4x-3y-7=0`?

Answer 1

This answer involves rearranging the equation to make `y` the subject.

The slope `m=4/3` and the y-intercept `b=7/3`.

Explanation:

Slope-intercept form of a line is:

`y=mx+b` where `m` is the slope and `b` is the y-intercept

In this case it is simply the algebra of rearranging `4x-3y-7=0` to make `y` the subject:

`4x-3y-7=0` (add 7 to both sides)
`4x-3y=7` (subtract `4x` from both sides)
`-3y=7-4x` (divide both sides by `-3`)
`y=-(7-4x)/3 =4/3x-7/3`

From the rearranged equation the slope `m=4/3` and the y-intercept `b=7/3`.