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Finding the Equation of a Line from Its Graph

Suppose you are given the graph of a line in the coordinate plane, and asked to find its equation.

If you can find the y -intercept and the slope , you can write the equation in slope-intercept form (unless, of course, it's a vertical line .)

Example :

Find the equation of the line shown.

Math diagram

Here the line crosses the y -axis at 3 , so the y -intercept is 3 .

To find the slope, use the two points ( 6 , 0 ) and ( 0 , 3 ) and substitute these in the slope formula:

m = y 2 y 1 x 2 x 1 = 3 0 0 ( 6 ) = 1 2


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