You are given equations in Standard Form. Rewrite them in Slope-intercept form.

-6x + 4y = 24
is y= 6/4x + 6 or y = 2/3x + 4?

Those are my answer choices. I came across the two answers when I was trying to figure out what is y. But Ieaning towards y=2/3x+4.

add 6x to both sides, then divide both sides by 4. This ought to be automatic...

Ok...

-6x + 4y = 24
6 6
------------------
4y = 24 6
4 4 4
I still get y=2/3x+ 4
I hate that I am 8th grader doing 9th grade math! I don't even like math! Please help or tell me why I keep getting the wrong answer.

Jadah, who is showing you how to do those steps???

You have:

-6x + 4y = 24
6 6
------------------
4y = 24 6
4 4 4
I still get y=2/3x+ 4

You are just writing down a bunch of 6's and 4's , making no sense.
Why did you not follow bobpursley's instructions ?

-6x + 4y = 24
4y = 6x + 24 , I added 6x to both sides
y = (3/2)x + 6 , I divided each term by 4 , and simplified 6/4 to 3/2

- 6 x + 4 y = 24

Add 6 x to both sides

- 6 x + 6 x + 4 y = 6 x + 24

4 y = 6 x + 24

Divide both sides by 4

4 y / 4 = 6 x / 4 + 24 / 4

y = 2 ∙ 3 x / 2 ∙ 2 + 6

y = 3 x / 2 + 6

y = 3 / 2 x + 6

To rewrite the given equation, -6x + 4y = 24, in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, follow these steps:

Step 1: Isolate the y-term.
To do this, move the -6x term to the other side by adding 6x to both sides of the equation:
-6x + 6x + 4y = 6x + 24

Simplifying the equation:
4y = 6x + 24

Step 2: Divide by the coefficient of y.
To obtain y alone, divide both sides of the equation by 4:
4y/4 = (6x + 24)/4

Simplifying further:
y = (6/4)x + 24/4
y = (3/2)x + 6

Therefore, the equation -6x + 4y = 24 can be written as y = (3/2)x + 6 in slope-intercept form.