Write the Equation of a Line - Alternate Method

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Write the Equation of a Line When Given Two Points  (Alternate Method)

Write the equation of the line that passes through the points
(x1, y1) and (x2, y2)
First, use the slope formula to find the slope:
 
Substitute for the slope, x1 and y1 .  Write equation 1 as:
            		Substitute for the slope, x2 and y2 . Write equation 2 as:
 

Solve each equation for b
(The value for b should be the same in both equations)

Now write the equation in slope intercept form
using the slope and b you found:
y=mx+b
This is the equation of the line passing through the two given points.