SOLUTION: what is the equation of this graph.the points are (6,6)and (2,4)
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Question 3452: what is the equation of this graph.the points are (6,6)and (2,4)
Answer by drglass(89) (Show Source): You can put this solution on YOUR website!
To find the equation of a line that includes the points (6,6) and (2,4), use the equation for a line, , where m is the slope of the line and b is the intercept. For the sake of discussion, let's call (6,6) P1 and we'll call (2,4) P2
First, find the slope. The slope is the "rise over the run" or the change in y divided by the change in x. We have two points on the line, so we know that the line "rises" from 4 to 6 (the y values of points P2 and P3). The point also "runs" from 2 to 6 (the x values of points P2 and P1). The distance of the rise is 6 - 4 or 2 and the distance of the run is 6 - 2 or 4. Therefore the slope is .
With the slope, we have the equation . Let's see what happens to the equation when we supply it with the x and y values on one point on the line, say P1. Our equation becomes . To find b, subtract 3 from both sides to get b = 3.
The equation of the line is .
To verify this, put the x and y values of points P1 and P2 into the equation. If these points are on the line, the equation will hold.
P1 holds
P2 holds
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