Answer:
if you are given two points, use the equation y2-y1 / x2-x1
if you are given a graph, use rise/run
Explanation:
if you have two points, like (4,5) and (6,9), take the second numbers of both pairs (the ys) and subtract them from each other (usually 2nd y minus 1st y), so with these points I would do 9-5
then subtract the first numbers of both pairs (the xs) from each other too (just like the ys: 2nd x minus 1st x), so with these points I would do 6-4
now you have y=9-5 which is 4
and x=6-4 which is 2
now you put 4/2 and simplify it to get 2
so your slope with these points is 2
if you want to find slope on a graph, look at where the line crosses the x/y axis lines, the points where they meet, and look at the distance between each point that it crosses
to find the slope put the rise (vertical change in y between each point) over the run (horizontal change in x between each point) in a fraction like this
rise/run
simplify that and you have your slope