Question

Draw the graph of the lines y = x, y = 2x, y = 3x and y = 5x on the same graph sheet. Is there anything special that you find in these graphs?

Answer 1

(i) y = x

(ii) y = 2x,

(iii) y = 3x

(iv) y = 5x

(i) y = x

When x = 1, y = 1

x = 2, y = 2

x = 3, y = 2

(ii) y = 2x

When x = 1, y = 2

x = 2, y = 4

x = 3, y = 6

(iii) y = 3x

When x = 1, y = 3

x = 2, y = 6

x = 3, y = 9

(iv) y = 5x

When x = 1, y = 5

x = 2, y = 10

x = 3, y = 15

When we plot the above points & join the points to form line, we notice that the lines become progressively steeper. In other words, the slope keeps increasing.