Transform 4x+y=−12 to slope-intercept form.(1 point)

Question

Responses

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

y=4x−12
y equals 4 x minus 12

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

4x+y+12=0

Answer 1

To transform the equation \( 4x + y = -12 \) to 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. Solve for \( y \) by isolating it on one side of the equation. Subtract \( 4x \) from both sides: \[ y = -4x - 12 \]

Now, the equation is in slope-intercept form, and we see that:

• The slope \( m = -4 \)
• The y-intercept \( b = -12 \)

So the correct transformation is: \[ y = -4x - 12 \]

Thus, the correct response from the options given is: y = −4x − 12.