Transform 4x+y=−12

Question

to slope-intercept form.(1 point)
Responses

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

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

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

y=4x−12

Answer 1

To transform the equation \(4x + y = -12\) into slope-intercept form (which is \(y = mx + b\)), we can isolate \(y\):

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

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

Thus, the slope-intercept form of the equation is: \[ y = -4x - 12 \]

So the correct response is: y = -4x - 12.