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# Basic Math/Graphs of function

Question

Equation of the graph
Hi there. How do I know what equation is the graph representing?

You know 2 points on the line, (-10, 0) and (0,5) and the slope is 5/10 or 1/2.  You can get the slope by using the following formula y2-y1/x2-x1 = 5-0/0-(-10)= 5/10 = 1/2 or you can just look at the graph and see that for the lines rises 5 for every 10 in the run.

The equation for the line will take the form of y = mx + b.  You have y, m and x, so you just need to solve for b.  Using (0,5) and 1/2 for the slope, the equation is

5 = 0(1/2) + b
5 = b  so the equation for the line passing through (-10,0) and (0,5) is y = 1/2x + 5

Basic Math

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#### Lynn Houston

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