Graphing Linear Equations Online Practice

Complete this assessment to review what you've learned. It will not count toward your grade.
14 of 1514 of 15 Items

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

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

y=4x−12
y equals 4 x minus 12

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

y=−4x−12

1 answer

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 will solve for \(y\).

Starting with the original equation:

\[ 4x + y = -12 \]

Subtract \(4x\) from both sides:

\[ y = -4x - 12 \]

Now the equation is in the slope-intercept form where the slope \(m\) is \(-4\) and the y-intercept \(b\) is \(-12\).

So, the correct response is:

y = -4x - 12.