Transform 4x+y=−12

Question

to slope-intercept form.(1 point)
Responses

y=−4x−12
y equals negative 4 x minus 12

y=3x
y equals Start Fraction 3 over x End Fraction

4x+y+12=0
4 x plus y plus 12 equals 0

y=4x−12

Answer 1

To convert 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), follow these steps:

1. Start with the original equation: \[ 4x + y = -12 \]

2. Subtract \(4x\) from both sides: \[ y = -4x - 12 \]

Now, the equation is in slope-intercept form.

Thus, the correct response is: y = -4x - 12 (y equals negative 4 x minus 12)