This week in math we learned about the three differents ways to write a linear equation and the way we can convert from one form to another. Converting from slope intercept and general from can be very easy if you follow the following steps,

Picture;

1.) Once you have the coordinates, you find the slope. The slope can be found by taking the first “y” variable and subtracting the second “y” variable. Then you do the same with the “x” variables.

->M= y1-y2/x1-x2

2.) After you input the slope value, you put the “y” and “x” variables in by using either the first or second pair of pair of coordinates. The goal is to find the b value to do the formula for slope intercept, which is y=mx+b.

3.) Finally, you have your equation in slope-intercept form and the way you convert the equation is by doing the opposite of the numbers,

for example,

y=-2x+y-8 -> 2x+y+8=0

Slope-intercept form:

y=mx+b

m=Slope

b=y-intercept

General form:

ax+by+c=0

rules;

Leading coefficient has to be positive

Only integers (No Decimals)