You can
put this solution on YOUR website!The rate of change is the slope or the "slant" of the line.
(y1-y2)/x1-x2) [The slope formula]
Given points (1,2) and (3,4)
Slope=m=(2-4)/(1-3) [Plug-in the values for y1, y2, x1, and x2; and solve]
Slope=m=(2-4)/(1-3) =-2/-2=1
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The sign (positive or negative) of the slope determines whether it is a postive or negative slope:
Example: m = -2 is a negative slope
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Example: m=+2 is a positive slope