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Transform 4x+y=−12

to slope-intercept form.(1 point)
Responses

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

y=4x−12
y equals 4 x minus 12

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

4x+y+12=0

1 answer

To transform the equation \(4x + y = -12\) to slope-intercept form (which is \(y = mx + b\)), we need to solve for \(y\):

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

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

Now, it's in the slope-intercept form where the slope \(m = -4\) and the y-intercept \(b = -12\).

The correct response is: \[ y = -4x - 12 \]