Question

(a,1/b) and (b,1/a) find the slope of the line joining the points whose coordinates are

Answer 1

Answer:

$m=\frac{1}{ab}$

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the points

(a,1/b) and (b,1/a)

substitute

$m=\frac{1/a-1/b}{b-a}$

$m=\frac{\frac{b-a}{ab}}{b-a}$

$m=\frac{1}{ab}$