Question
Put the equation into slope-intercept form:
2y + 4x = 12
2y + 4x = 12
Answers
GPT-4o mini
To convert the equation \(2y + 4x = 12\) 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:
\[ 2y + 4x = 12 \]
1. Subtract \(4x\) from both sides:
\[ 2y = -4x + 12 \]
2. Now, divide every term by \(2\):
\[ y = -2x + 6 \]
Now, the equation is in slope-intercept form:
\[ y = -2x + 6 \]
Here, the slope \(m\) is \(-2\) and the y-intercept \(b\) is \(6\).
Starting with the equation:
\[ 2y + 4x = 12 \]
1. Subtract \(4x\) from both sides:
\[ 2y = -4x + 12 \]
2. Now, divide every term by \(2\):
\[ y = -2x + 6 \]
Now, the equation is in slope-intercept form:
\[ y = -2x + 6 \]
Here, the slope \(m\) is \(-2\) and the y-intercept \(b\) is \(6\).