Point-Slope Form of Linear Equations

We learned about Point-Slope Form of Linear Equations in Algebra 1. Point-Slope Form is Y-Y1= m(X-X1). (X1, Y1) is a point on the line and m is the slope.

If you are given a point and the slope you can plug the numbers into the equation.
For example-
Point-(1,2) Slope- 3
If you plug the numbers into the equation it looks like this-
y-2= 3(x-1)

You are often asked to turn this equation into Slope\Intercept Form. You just solve it like an equation. This is how you would do it with the equation above:

y-2= 3(x-1)
y-2= 3x-3 [Distribute.]
+2 +2 [Add 2 to both sides.]
y= 3x-1

You also are often asked to graph from the equations well.
From the equation y-2= 3(x-1) you can pick out that the point in the equation is (1, 2 ) and the slope is 3. You start at the point (1, 2 ) and go up 3 and over 1 (rise over run) to the next point.

:) :)