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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

1 answer

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:

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

  1. This simplifies to:

\[ y = 2x - 6 \]

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

The correct response is:

y = 2x - 6