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Question
Find the slope of a line passing through the following pair of point
(²m²,2am) and (p²m²,2pm)
Solution
A(x1,y1) = A(a2m2, 2am)
B(x2, y2) = B(p2m2, 2pm)
Slope of line AB = `("y"_2 - "y"_1)/("x"_2 - "x"_1)``
= `(2"pm" - 2"am")/("p"^2"m"^2 - "a"^2"m"^2)`
= `(2"m" ("p" - "a"))/("m"^2("p"^2 - "a"^2)`
= `2/"m" xx ("p" - "a")/(("p" + "a")("p" - "a"))`
= `2/("m" ("p" + "a")`
= `2/("pm" + "am")`
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