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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

1 answer

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.