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Answer:
Slope = m = First difference.
Step-by-step explanation:
The first difference of a function y = f(x) at any point (h,k) represents the slope of the tangent drawn at that point on the curve y = f(x).
If it is a linear function with equation say, y = mx + c, which is in slope-intercept form and the constant m is called the slope of the equation and it is nothing but the tangent function of the angle that the straight makes with the positive x-axis.
Now, the first difference of y with respect to x i.e.
{Differentiating the equation y = mx + c with respect to x both sides}
So, slope = m = first difference. (Answer)