This week in math 10, we learned about the different form of equations and how to change between them.
Here are the different equations:
Slope intercept form
Slope Point form
Slope intercept form to Slope Point form (y=mx+b to y-y2=m(x-x2))
We want to take the equation y=4x+8 and convert it to slope point form. This is one of the most simple conversion.
The first step is to fin a point to convert: (0,8) being put into the slope changes to (1,12)
Next, you would just inster the number into the equation: y-12=4(x-1)
Slope intercept form to General form (y=mx+b to 0=mx+y+b)
This conversion is also very simple. All you need to do to subtract y:
Slope Point form to General form (y-y2=m(x-x2) to 0=mx+y+b)
This conversion is a little more complicated. The first step is to convert form slope point form to slope intercept form:
We need to find the y-intercept, you can do that by applying the slope to the point in the equation: y-12=4(x-1) turn into y=4x+8.
You then can apply the conversion for Slope intercept form to General form.