Question

Rearrange the equation so
\[x\] is the independent variable.
\[-5x-4y=-8\]
\[y=\]

Answer 1

To rearrange the equation \(-5x - 4y = -8\) to solve for \(y\), follow these steps:

1. Start with the original equation:
\[
-5x - 4y = -8
\]

2. Add \(5x\) to both sides of the equation:
\[
-4y = 5x - 8
\]

3. Next, divide every term by \(-4\) to isolate \(y\):
\[
y = \frac{5x - 8}{-4}
\]

4. Simplify the right side:
\[
y = -\frac{5}{4}x + 2
\]

Thus, the equation rearranged with \(y\) as a function of \(x\) is:
\[
y = -\frac{5}{4}x + 2
\]