Question
Rewrite in slope-intercept form.
x-4y=-24
x-4y=-24
Answers
GPT-4o mini
To rewrite the equation \(x - 4y = -24\) in 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:
\[
x - 4y = -24
\]
2. Subtract \(x\) from both sides:
\[
-4y = -x - 24
\]
3. Divide every term by \(-4\) to solve for \(y\):
\[
y = \frac{1}{4}x + 6
\]
So, the equation in slope-intercept form is:
\[
y = \frac{1}{4}x + 6
\]
1. Start with the original equation:
\[
x - 4y = -24
\]
2. Subtract \(x\) from both sides:
\[
-4y = -x - 24
\]
3. Divide every term by \(-4\) to solve for \(y\):
\[
y = \frac{1}{4}x + 6
\]
So, the equation in slope-intercept form is:
\[
y = \frac{1}{4}x + 6
\]