Tom Q. answered • 09/05/12

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Slope-intercept form is an equation of the form y = mx + b. Using the rules of algebra, you rearrange the terms of the equation so you have y by itself on one side of the equation and everything else on the other side.

First distribute the 2 into the (x-1) term:

y - 3 = 2x - 2

Add 3 to both sides to get the -3 out of the left side of the equation:

y - 3 + 3 = 2x - 2 + 3

Combine the constant terms and you get:

y = 2x + 1

This is now in slope-intercept form. The slope, m, is 2, and the y-intercept, b, is 1.