Question

Q18. Draw the graph of the equation 3/2(x + 1) + 3 = 1/4 (x – 1) + 3 on the Cartesian plane. Explain the number of solution (s) and also, find the position of the graph where it cuts the x-axis.

Answer 1

Draw the x and y axes. Mark the units along the x and y axes with a suitable scale.

(i) To plot the point A (7, 0)

Here, the x-coordinate of A is 7 which is positive and the y-coordinate of A is zero. Hence the point A (7, 0) lies on the x-axis. Start at the Origin. Move 7 units to the right along the x-axis and mark it.

(ii) To plot the point B (-5 , 0)

Here, the x-coordinate of B is 5 which is negative and the y-coordinate is zero. Hence the point B (-5 , 0) lies on the x-axis. Start at the Origin. Move 5 units to the left along the x-axis and mark it.

(iii) To lot the point C (0 ,4)

Here, the x-coordinate of C is zero and the y-coordinate of C is 4 which is positive. Hence the point C (0 , 4) lies on the y-axis. Start at the Origin. Move 4 units up along the y-axis and mark it.

(iv) To plot the point D (0 , -3)

Here the x-coordinate of D is zero and the y-coordinate of D is -3 which is negative. Hence the point D (0 , -3) lies on the y-axis. Start at the Origin. Move 3 units down along the y-axis and mark it