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=4x−12
y equals 4 x minus 12

y=3/x

Answer 1

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

Starting with the equation:

\[ 4x + y = -12 \]

Subtract \(4x\) from both sides:

\[ y = -4x - 12 \]

So, the equation in slope-intercept form is:

\[ y = -4x - 12 \]

The correct response is:

y equals negative 4 x minus 12.