Mathematics

Problem

A straight line passes through the points

C\bigl(\tfrac{3}{2},\,-4\bigr)

and

D(6,2)

. Answer the following: (i) Find the slope of the line

CD

. (ii) Using the result of part (i), obtain the equation of the line in the form

y=mx+c

. (iii) Determine the coordinates of the point where this line meets the

y

–axis. (iv) Verify whether the point

E(9,5)

lies on the same line, showing all necessary working.