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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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When can the slope of a graph represent density-?
When the vertical axis represents "number of things" and the horizontal represents "volume of the thing"---slope is change in vertical over change in horizontal, so units of the slope would be "number/volume", which is density.
What type of data must be plotted on a graph for the slope of the line to represent density?
Density is defined as mass/volume, and since slope is rise/run, with the rise being the y-axis and the run the x-axis, mass should be the y-axis and volume the x-axis. For example, you would put grams on the y-axis and ml on the x-axis.
What is the slope of y equals -3 and x equals -2?
-1
What represents acceleration on a graph?
The answer depends on the variables in the graph! In a graph of age against mass there is nothing that represents acceleration.
Force divided by mass equals?
Newton's Second Law: force = mass x acceleration. Rearranging the equation, you see that force / mass = acceleration.
