Question

What is the slope and y intercept of `5x - 3y = 30`?

Answer 1

The slope is `5/3`.
The y-intercept is `-10`.

Explanation:

`5x-3y=30` is the standard form for a linear equation. The slope-intercept form is `y=mx+b`, where `m` is the slope, and `b` is the y-intercept. To convert from standard form to slope-intercept form, solve the standard form for `y`.

`5x-3y=30`

Subtract `5x` from both sides of the equation.

`-3y=30-5x`

Divide both sides by `-3`.

`y=(30)/(-3)-(5x)/(-3)=`

`y=-10+5/3x`

Rearrange the right hand side.

`y=5/3x-10`

`m=5/3,` `b=-10`

graph{y=5/3x-10 [-10, 10, -5, 5]}