Find the slope of the line that passes through (-9, 5) and (6, 13)
The slope, which is "m", is found using the following slope formula:\[m = \frac{ y _{1} - y _{2} }{ x _{1} - x _{2} }\]where you use the given points:\[(x _{1}, y _{1})\]and\[(x _{2}, y _{2})\]
It doesn't matter which point you call point 1 or point 2. Take either one for point 1. The other automatically becomes point 2.
Graphically, this is what you have. You can solve the problem this way also by seeing how much you "go up", which is the "rise" and placing this value as a numerator over how much you go either to the right (positive) or to the left (negative), also called the "run". The "run" would be the denominator. With this information, you can solve the problem either way.
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