Let be the point of intersection of the lines and

MATHEMATICS · Multi-part · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane

Problem

Let

P

be the point of intersection of the lines

2x - y + 1 = 0

and

x + y - 5 = 0

. A line through

P

has slope

3/2

. Answer the following: (i) Find the coordinates of

P

. (ii) Write the equation of the required line in slope–intercept form.