Let a line pass through the points and

MATHEMATICS · Single correct · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane

Problem

Let a line pass through the points

(a,3)

and

(4,9)

. Which of the following is its equation in point–slope form using the point

(4,9)

? (a)

y-9=\dfrac{4-a}{6}(x-4)

(b)

y-9=\dfrac{6}{4-a}(x-4)

(c)

y-3=\dfrac{6}{4-a}(x-a)

(d)

y-9=\dfrac{6}{a-4}(x-4)