Question
convert and write the equation in slope intercept form. 3x+4y=-8
Answers
GPT-4o mini
To convert the equation \(3x + 4y = -8\) 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 moving the \(3x\) term to the right side of the equation.
\[
4y = -3x - 8
\]
2. **Divide by 4** to solve for \(y\):
\[
y = -\frac{3}{4}x - 2
\]
Now, the equation is in slope-intercept form. Thus, the final result is:
\[
y = -\frac{3}{4}x - 2
\]
Here, the slope \(m\) is \(-\frac{3}{4}\) and the y-intercept \(b\) is \(-2\).
1. **Isolate the \(y\) term**: Start by moving the \(3x\) term to the right side of the equation.
\[
4y = -3x - 8
\]
2. **Divide by 4** to solve for \(y\):
\[
y = -\frac{3}{4}x - 2
\]
Now, the equation is in slope-intercept form. Thus, the final result is:
\[
y = -\frac{3}{4}x - 2
\]
Here, the slope \(m\) is \(-\frac{3}{4}\) and the y-intercept \(b\) is \(-2\).