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Let us suppose we are plotting y vs x and obtain a straight line. Then we pick a set of two coordinates, x1,y1 and x2,y2 The slope, M, is then given by the equation

M (y2-y1)/(x2-x1) If we apply this to a force vs mass graph, we obtain the expression

M (F2-F1)/(m2-m1),but F ma according to Newton's second law, where a is the acceleration, which leads to

(m2a2-m1a1)/(m2-m1), but if a2 a1 a, as it will if the line is straight, then

M a(m2-m1)/(m2-m1) a, so the slope, M, of your graph is acceleration.

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Q: What does the slope on a force vs mass graph represent?
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