page 13 of 13

Slope-Intercept Form Quick Check
3 of 53 of 5 Items
Question
Transform the linear equation into slope-intercept form.

3x−y=50


(1 point)
Responses

−y=3x−50
negative y is equal to 3 x minus 50

−y=−3x+50
negative y is equal to negative 3 x plus 50

y=−3x+50
y is equal to negative 3 x plus 50

y=3x−50

1 answer

To transform the linear equation \( 3x - y = 50 \) into slope-intercept form (which is \( y = mx + b \)), you need to solve for \( y \).

Starting with the equation:

\[ 3x - y = 50 \]

  1. Subtract \( 3x \) from both sides:

\[ -y = -3x + 50 \]

  1. Multiply through by \(-1\) to solve for \( y \):

\[ y = 3x - 50 \]

So the correct slope-intercept form is:

y = 3x - 50

Therefore, the correct response is:

y = 3x − 50