Answer:
[tex]m=\frac{1}{ab}[/tex]
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have the points
(a,1/b) and (b,1/a)
substitute
[tex]m=\frac{1/a-1/b}{b-a}[/tex]
[tex]m=\frac{\frac{b-a}{ab}}{b-a}[/tex]
[tex]m=\frac{1}{ab}[/tex]
