Point-Slope-Form

= ​ Linear Relations: Point Slope For m = = =

Point slope form is a method of graphing a linear equation on a x-y axis. It can also be used to find out the linear equation of a line plotted on a Cartesian Plane.

The standard Point-Slope equation looks like this:



This equation will help you find the equation of a graph of a line if you know the slope of the line and at least one pair of x, y point values. Once you have the know values, you simply sub it in. m represents the slope, y1 and x1 represent the x, y coordinates of a point. After the subsitution, write the equation in standard form, which looks something like this: 4y+x-2=0

So when can we use this equation?
So lets say that you were given the slope of a line and one point, you can use it to state the equation the line. Question: State the equation of the line which goes through the point (1, 5) and has a slope of 2/3. Solution: y-y1=m(x-x1) y-5=2/3(x-1) 3y-15=2(x-1) 3y-15=2x-2 -2x+3y-13=0 2x-3y+13=0 Therefore, the equation of the line is 2x-3y+13=0.

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