Give the geometric representations of the following equations

(a) on the number line

(b) on the Cartesian plane:

(i) x=2

(ii) y+3=0

(iii) y=3

(iv) 2x+9=0

(v) 3x-5=0

Ravish tells his daughter Aarushi, “Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be.” If present ages of Aarushi and Ravish are x and y years respectively, represent this situation algebraically as well as graphically.

Aarushi was driving a car with uniform speed of 60 km/h. Draw distance-time graph. From the graph, find the distance travelled by Aarushi on

(i) 2 Hours

(ii) Hour

Give the geometrical representation of 2x+13=0 as an equation in

(i) One variable

(ii) two variables

Solve the equation 3x+2=x-8, and represent the solution on

(i) the number line

(ii) The Cartesian plane.