how do i find the slope of the line passing through the given points of (2,4), and (5,2)

Question

Writing Linear equations using points.

Answer 1

Use the equation y of the second point minus y from the first point all divided by x from the second point divided by x from the first point.  Sometimes this is referred to as "change in y" divided by "change in x".  In any case you'll get 2-4 or -2 divided by 5-2 or 3.  The resulting slope is -2/3.  It is important to keep the order of the numbers consistent so that your signs don't get messed up.