Question

What is the slope of the line represented by the equation below? Give your answer as a fraction in simplest form. Show work

6x+4y=−2

Answer 1

The slope of the line is
`-(3)/(2)`

Explanation:

In order to find the slope of this line, we will have to get it in slope intercept form
`y=mx+b` where m is the slope and b is the y intercept. This means we will have to solve for y.

`6x+4y=-2`

Subtract 6x on both sides

`4y=-6x-2`

Divide everything by 4

`y=-(3)/(2)x -(1)/(2)`

The slope of the line is
`-(3)/(2)`