Question
3x+4y=24 put this in slope form
Answers
GPT-4o mini
To convert the equation \(3x + 4y = 24\) 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 original equation:
\[
3x + 4y = 24
\]
Step 1: Subtract \(3x\) from both sides:
\[
4y = -3x + 24
\]
Step 2: Divide each term by \(4\) to isolate \(y\):
\[
y = -\frac{3}{4}x + 6
\]
Now, the equation is in slope-intercept form \(y = mx + b\).
Thus, the slope \(m\) is \(-\frac{3}{4}\) and the y-intercept \(b\) is \(6\).
Starting with the original equation:
\[
3x + 4y = 24
\]
Step 1: Subtract \(3x\) from both sides:
\[
4y = -3x + 24
\]
Step 2: Divide each term by \(4\) to isolate \(y\):
\[
y = -\frac{3}{4}x + 6
\]
Now, the equation is in slope-intercept form \(y = mx + b\).
Thus, the slope \(m\) is \(-\frac{3}{4}\) and the y-intercept \(b\) is \(6\).