Question

QUIZ QUESTION - ANSWER IN A WELL- WRITTEN PARAGRAPH FOR BRAINLIEST

Answer 1

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. $\frac{dy}{dx} = y' = f'(x) = m$

{Differentiating the equation y = mx + c with respect to x both sides}

So, slope = m = first difference. (Answer)