Question
-2x+3y= -6
put in slope intercept
put in slope intercept
Answers
GPT-4o mini
To convert the equation \(-2x + 3y = -6\) into slope-intercept form (which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept), follow these steps:
1. **Isolate the \(y\) term**: Start by adding \(2x\) to both sides:
\[
3y = 2x - 6
\]
2. **Divide by the coefficient of \(y\)** (which is 3) to solve for \(y\):
\[
y = \frac{2}{3}x - 2
\]
Now the equation is in slope-intercept form:
\[
y = \frac{2}{3}x - 2
\]
Here, the slope \(m\) is \(\frac{2}{3}\) and the y-intercept \(b\) is \(-2\).
1. **Isolate the \(y\) term**: Start by adding \(2x\) to both sides:
\[
3y = 2x - 6
\]
2. **Divide by the coefficient of \(y\)** (which is 3) to solve for \(y\):
\[
y = \frac{2}{3}x - 2
\]
Now the equation is in slope-intercept form:
\[
y = \frac{2}{3}x - 2
\]
Here, the slope \(m\) is \(\frac{2}{3}\) and the y-intercept \(b\) is \(-2\).