Transform 4x + y = -12 to slope-intercept form.

Question

A. y = 3/x
B. y = 4x - 12
C. y = -4x - 12
D. 4x + y + 12 = 0

Answer 1

To transform the equation $4x+y=-12$ into slope-intercept form, which is $y=mx+b$ where $m$ is the slope and $b$ is the y-intercept, we can isolate $y$.

Starting with the original equation:

$$4x+y=-12$$

Subtract $4x$ from both sides:

$$y=-4x-12$$

Now we have the equation in slope-intercept form, $y=-4x-12$.

Thus, the correct answer is:

C. $y=-4x-12$