Transform 4x+y=−12

Question

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

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

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

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

y=3x

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. Isolate \(y\) by subtracting \(4x\) from both sides: \[ y = -4x - 12 \]

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

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