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Slope is defined as "rise over run," with rise indicating vertical distance between two points, and run indicating the horizontal distance between two points. These can be any points the line runs through. You can also use this method if you are given two points on the line, without having the line graphed in front of you. Coordinates are listed as (x,y){\displaystyle (x,y)}, with x{\displaystyle x} being the location along the x, or horizontal axis, and y{\displaystyle y} being the location along the y, or vertical axis. For example, you might choose points with coordinates (3,2){\displaystyle (3,2)} and (7,8){\displaystyle (7,8)}. One point will be point 1, and one point will be point 2. It doesn't matter which point is which, as long as you keep them in the correct order throughout the calculation. The first point's coordinates will be (x1,y1){\displaystyle (x_{1},y_{1})}, and the second point's coordinates will be (x2,y2){\displaystyle (x_{2},y_{2})} The formula is riserun=y2y1x2x1{\displaystyle {
rac {rise}{run}}={
rac {y_{2}-y_{1}}{x_{2}-x_{1}}}}. The change in y-coordinates determines the rise, and the change in x-coordinates determines the run.
Understand the slope formula. Pick two points on the line and label their coordinates. Determine the order of your points. Set up the slope formula.