This week I learned how to convert between different forms of equations of a line. I also thought it would be important to teach you how to find the y and x axis intercepts if you don’t already know.

Ex. (-2, 5) (4, -13)

Point Slope Form: m(x – x1)= y-y1

General Form: Ax+By+C=0

Slope-y Intercept Form: y=mx + b

- m is the slope
- b is what you’re going to be isolating
- b is also what the y intercept is going to be
- The x and y in the equation is going to be taken from one group of coordinates

You need to know the slope for this form, the slope is -3

I’m going to choose (-2, 5) for my x and y coordinates in the equation you also need to simplify

The y intercept is -1 (this is the b in the y=mx + b)

Slope-y intercept form is: y= -3x -1

To convert from Slope y Intercept to General Form: Ax+By+C = 0

- All you need to do is move y to the side where x is positive and if x is not positive then you move everything on the -Ax side to the y side.

Point Slope Form : m(x – x1)= y-y1

- Super fast and easy

All of the equations mean the same thing and get the same line.