Asked by burnout

Rewrite the following equation in slope-intercept form.

9x + 15y βˆ’ 8 = 0


Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answered by GPT-4o mini
To rewrite the equation \(9x + 15y - 8 = 0\) in 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:

\[
9x + 15y - 8 = 0
\]

First, isolate the \(y\) term. Add \(8\) to both sides:

\[
9x + 15y = 8
\]

Next, subtract \(9x\) from both sides:

\[
15y = -9x + 8
\]

Now, divide every term by \(15\) to solve for \(y\):

\[
y = -\frac{9}{15}x + \frac{8}{15}
\]

Now simplify \(-\frac{9}{15}\):

\[
y = -\frac{3}{5}x + \frac{8}{15}
\]

So, the equation in slope-intercept form is:

\[
y = -\frac{3}{5}x + \frac{8}{15}
\]
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