Identify other points on the line y = 2x + 1 by completing the following table Class 9

Identify other points on the line y = 2x + 1 by completing the following table Class 9

Question 1.

Identify other points on the line y = 2x + 1 by completing the following table Class 9

Answer:

Question 2.

Let us plot the points (-1, -3), (0, 0), (1, 3), (3, 9), (4,12) in the coordinate plane on a graph paper. Join the points (-1, -3) and (4, 12) using a ruler. Doing so, observe that all five points lie on a straight line. Can you guess the equation of this line by looking at the relationship between the x and y coordinates of each point? Class 9

Ans.

When x = -1, y = -3 = 3 × (-1)

When x = 0, y = 0 = 3 × 0

When x = 1, y = 3 = 3 × 1

When x = 3, y = 9 = 3 × 3

When x = 4, y = 12 = 3 × 4

∴ At every point, the value of the y-coordinate is 3 times the x-coordinate.

∴ The equation of line is, y = 3x.