Line passes through the points and

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

Problem

Line

R

passes through the points

(0,6)

and

(2,0)

. Another line is given by

px + y = 4

. The two lines meet at

x = 1

. (a) Determine the value of

p

. (b) Write the coordinates of their point of intersection.