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slope
In mathematics, a constant rate of change is called a slope. For linear functions, the slope would describe the curve of the function. The world "constant" in this context means the slope and therefore angle of the curve will not change.
y=mx +b is the equation for slope intercept form. y = the output of the equation m = the slope x = the input into the formula b = the y-intercept The slope represents the rate of change. This is because for every input, or x, you put into the equation, is changed by m. So the M portion of this equation would be the rate of change.
Rate can be the slope of a line when some variables are graphed. Ex: When graphing distance vs time for a moving object the slope of the line is the rate.
The rate of change on that line. This is called the tangent and is used in the application of the derivative.