Prove the formula for the slope given in Section 2.4: y-y2 3 = X1 X2 Given two

Prove the formula for the slope given in Section 2.4:

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y-y2 3 = X1 X2 Given two points (x, y) and (x2, y2) on the same line, both must satisfy the slope-intercept form of the equation: y = mx + b y2 = mx2+b Subtracting y from y and recalling from Example 5 that the order is irrelevant, as long as it remains consistent, y1 y2 mx+b-mx2-b y1 y2m(x-x2) - Then dividing by (x, x) and rearranging terms,