A line passes through the points and and has -intercept

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

Problem

A line passes through the points

(1, 2)

and

(5, p)

and has

y

-intercept

-3

. Which pair

(p, \text{ equation })

is correct? (a)

(28,\; y = 5x + 3)

(b)

(-28,\; y = -5x - 3)

(c)

(22,\; y = 5x - 3)

(d)

(-2,\; y = 0.2x - 3)