Question

Which of the following equations is equivalent to

-6x + 2y = 24
A. y = -3x - 12
B. y = 3x + 12
C. y = 6x + 24
D. y = -12 + 3x

Answer 1

B. y=3x+12

Explanation:

Hi there!

We want to find out which equation is equivalent to -6x+2y=24

The equation is currently written in standard form, which is ax+by=c, where a, b, and c are integer coefficients, but a and b CANNOT equal zero

We can change the equation into slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept, as all of the answer options are in slope-intercept form.

To do that, we'll need to isolate y by itself on one side

So let's add 6x to both sides to remove it from the left side

-6x+2y=24

+6x +6x

__________________

2y=6x+24

Now divide both sides by 2 to get the value of y by itself (1y)

y=3x+12

The answer is B. y=3x+12

Hope this helps!