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Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8,5) and (-12,-9). He writes the equation 7x-10y=3. Is this a good model?

 Mar 26, 2020
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An equation that can be used is:  y - y1  =  m(x - x1)

 

m is the slope:  m  =  (y2 - y1) / (x2 - x1)

 

You can take either point to be (x1, y1).

If you take (8, 5) as this point, then  x1 = 8,  y1 = 5,  x2 = -12,  and  y2 = 9.

 

First:  find the slope using these values.

Then: find the equation of the line using the top formula.

Compare your answer to the equation given in the problem.

 Mar 26, 2020

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