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?
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.