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.