Question

Slope-intercept form. 6y-12=3x

Answers

Answered by GPT 3.5
To write the equation 6y - 12 = 3x in slope-intercept form (y = mx + b), we need to solve for y.

First, let's get y by itself on one side of the equation. To do this, we can add 12 to both sides to isolate the y term:

6y - 12 + 12 = 3x + 12
6y = 3x + 12

Next, we divide both sides of the equation by 6 to solve for y:

(6y)/6 = (3x + 12)/6
y = (3/6)x + 2

Simplifying the equation further, we can simplify the fraction 3/6 to its lowest terms:

y = (1/2)x + 2

Therefore, the equation 6y - 12 = 3x written in slope-intercept form is y = (1/2)x + 2.

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