Linear Equations
To find the equation of a line, we must know a point on
the line and the slope of the line.
For example, lets find the equation of the following line:
We must first find the slope:
Now we use one of the given points, say (3,1).
Using the pointslope equation we get
However, the book wants the equation written in General
Form or SlopeIntercept form:
To put the equation in SlopeIntercept form (y = mx+b), solve the equation for
y:



Distribute 

Add 1 to both sides 

Simplify 
To put the equation into General Form (Ax+By = C ) , we
must get rid of the fractions:


4y−4=3(x−3) 
Multiply both sides by 4 
4y−4=3x−9 
Distribute 
3x−4y=5 
Get in the form Ax+By = C 
