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 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), we need to solve for \( y \).

Starting with the original equation:

\[ 4x + y = -12 \]

We can isolate \( y \) by subtracting \( 4x \) from both sides:

\[ y = -4x - 12 \]

Now, this is in the slope-intercept form.

So the correct transformation is:

\( y = -4x - 12 \)

This corresponds to the first response:

y equals negative 4 x minus 12.