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Rewrite the following equation in slope-intercept form. -x + 10y = 10 Write your answers using integers, proper fractions, and...Asked by burnout
Rewrite the following equation in slope-intercept form.
9x + 15y β 8 = 0
Write your answer using integers, proper fractions, and improper fractions in simplest form.
9x + 15y β 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:
\[
y = -\frac{3}{5}x + \frac{8}{15}
\]
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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