Question

Write the equation 3 x minus 5 y equals 15 in slope-intercept form.
(1 point)
Responses

y equals Start Fraction 3 over 5 End Fraction x minus 3
Image with alt text: y equals Start Fraction 3 over 5 End Fraction x minus 3

y equals Start Fraction 3 over 5 End Fraction x minus 5
Image with alt text: y equals Start Fraction 3 over 5 End Fraction x minus 5

y equals negative Start Fraction 3 over 5 End Fraction x minus 3
Image with alt text: y equals negative Start Fraction 3 over 5 End Fraction x minus 3

y equals negative Start Fraction 3 over 5 End Fraction x minus 5

Answer 1

To convert the equation \(3x - 5y = 15\) into slope-intercept form (which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept), we can follow these steps:

1. Start with the original equation:
\[
3x - 5y = 15
\]

2. Isolate \(y\) on one side. First, subtract \(3x\) from both sides:
\[
-5y = -3x + 15
\]

3. Now, divide every term by \(-5\) to solve for \(y\):
\[
y = \frac{3}{5}x - 3
\]

Now, the equation is in slope-intercept form:
\[
y = \frac{3}{5}x - 3
\]

Thus, the answer is:
**y equals Start Fraction 3 over 5 End Fraction x minus 3**.