Question

Transform this equation to slope-intercept form: 6x + 4y = 8.

A. y=-3/2x+4


B.

y=-3/2x+2

C.

y=3/2x+4

D.

y=3/4x+2

Answer 1

I have no clue how to transform the equation.

Answer 2

So its 6x+4y=8
This is in the form mx+y=b
We need it in the form y=mx+b

So b, which is 8 is fine because it is on the correct side.
So move the mx, which is 6x, to the right side of the equation by undoing it, which would make it negative (-6x)

Now the equation looks like this:
4y=-6x+8

But we need y by itself so... we are going to divide everything by 4, which will isolate y.
So that looks like this,
-6/4 reduces to the fraction -2/3 and 8/4=2.

So the final equation is y=mx+b format looks like this
y=-2/3x+2

Hopw this helped