Consider the equation 2x + y = 3

(i) Using a graphing software, draw the graph of 2x + y = 3

(ii) Do the points A(2, 1) and B(-2, 5) lie on the graph in (i)? Do the coordinates of each of the points satisfy the equation 2x + y = 3? Explain your answers.

(iii) The point (1. p) lies on the graph in (i). Determine the value of p.

(iv) The point (4.7) lies on the graph in (i). Determine the value of q.

(v) On the same axes in (i), draw the graph of y = - 2r + 3 What do you notice? Hence, show algebraically that v = - 2r + 3 can be obtained from 2r + y = 3