How do you find the slope given the points (7,5 ) and (-1, 1/5)?

Feb 4, 2016

Use the slope formula: $m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{\frac{1}{5} - 5}{- 1 - 7} = \frac{3}{5.}$

Explanation:

There is a formula for the slope of a straight line, given two points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ on the line:

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

It doesn't actually matter which points we choose as points 1 and 2, because the formula will give the correct answer either way.

I've calculated the answer above using this formula.