Question

Write the linear equation 3y = 6x - 18 in slope intercept form (1 point)
Responses

y = 2x - 6
y = 2x - 6

y = 6x + 2
y = 6x + 2

y = 6x - 18
y = 6x - 18

y = 18 + 3
y = 18 + 3

Answer 1

To convert the equation \( 3y = 6x - 18 \) into slope-intercept form (which is \( y = mx + b \)), we should solve for \( y \):

1. Divide both sides of the equation by 3:

\[
y = \frac{6x - 18}{3}
\]

2. This simplifies to:

\[
y = 2x - 6
\]

So the equation in slope-intercept form is \( y = 2x - 6 \).

The correct response is:

**y = 2x - 6**