Question

write the equation (11-4y=32 in (y=mx+b) form

Answer 1

To write the equation \(11 - 4y = 32\) in the form \(y = mx + b\), we need to solve for \(y\).

1. Start with the original equation:
\[
11 - 4y = 32
\]

2. Subtract 11 from both sides:
\[
-4y = 32 - 11
\]
\[
-4y = 21
\]

3. Now, divide by -4 to solve for \(y\):
\[
y = \frac{21}{-4}
\]
\[
y = -\frac{21}{4}
\]

Since there are no \(x\) terms in the equation, it's a horizontal line. Thus, it's equivalent to:
\[
y = 0x - \frac{21}{4}
\]
So the final answer in \(y = mx + b\) form is:
\[
y = 0x - \frac{21}{4}
\]

Or simply:
\[
y = -\frac{21}{4}
\]