Write y = -2/3x - 4

A: 2x + 3y = -12
B: 2x + 3y = -4
C: -2x + 3y = -12
D: 2x + 3y = 12

Honestly, i'm a bit confused on this. I checked my text-book and I got nothing. I think the answer is B, since the slope is -2/3, but since we convert, I think you have to make it positive. The Y value is already given: y = -2/3x - 4, and - 4 is essentially -4.

Thanks! ^-^

got nothing? get real.

Anyway, multiply by 3 to clear the fraction
y = -2/3x - 4
3y = -2x - 12
Now add 2x to both sides
2x+3y = -12

yes, you do appear to be confused ...

To determine which equation matches the given equation y = -2/3x - 4, we need to rearrange the given equation into the standard form, which is Ax + By = C, where A, B, and C are constants.

Let's start by rearranging the given equation:

y = -2/3x - 4

Multiply both sides of the equation by 3 to clear the fraction:

3y = -2x - 12

Now, let's rearrange the equation further by moving -2x to the left side:

2x + 3y = -12

Now we have the equation in the standard form Ax + By = C. Comparing this equation with the answer choices:

A: 2x + 3y = -12
B: 2x + 3y = -4
C: -2x + 3y = -12
D: 2x + 3y = 12

The equation that matches the rearranged equation y = -2/3x - 4 is A: 2x + 3y = -12.

Remember, when converting an equation in slope-intercept form (y = mx + b) to standard form (Ax + By = C), you need to eliminate any fractions and arrange the terms so that the x and y coefficients are positive.