Question

Lines A, B, and C show proportional relationships.

Which line has a constant of proportionality between y and of?

Answer 1

The line which has constant proportionality is C.

The expression which relates constant proportionality between x and y is :

• y = kx

Choosing a pair of points for C. ; (3, 2)

2 = 3k

k = 2/3

The expression becomes : y = 2x/3

Using the expression to determine the value of y when x = 6

y = 2(6)/3

y = 4

Also, when x = 9

y = 2(9)/3

y = 6

The values obtained also corresponds to the values of line C on the graph.