Question

How do you rewrite the equation `2y+3x=4` in slope intercept form?

Answer 1

`y = -3/2x - 2`

Explanation:

First, write the equation

`y = mx+b`

and look at the equation you are given. From there, solve the equation to get `y` by itself you will end up with

`2y = 4-3x`

Then, divide both sides by two to get the unit rate

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

After, switch the two values on the right side to get

`y = -3/2x -2`

I hope this helps!

Answer 2

`y=-3/2x+2`

Explanation:

Given:

`2y+3x=4`

Rewrite in the standard form for a linear equation: `Ax+By=C`

`3x+2y=4`

The slope-intercept form for a linear equation is `y=mx+b`,

where:

`m` is the slope and `b` is the y-intercept.

To convert the standard form to slope-intercept form, solve for `y`.

`3x+2y=4`

Subtract `3x` from both sides.

`2y=-3x+4`

Divide both sides by `2`.

`y=-3/2x+4/2`

Simplify.

`y=-3/2x+2`

graph{(3x+2y-4)(y+3/2x-2)=0 [-9.96, 10.04, -2.76, 7.24]}