Question

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

Answer 1

(i) x = 2 

The representation of equation on the number line:

The representation of equation on the Cartesian plane:

(ii) y + 3 = 0 

or y = -3 

The representation of equation on the number line:

The representation of equation on the Cartesian plane:

(iii) y = 3 

The representation of equation on the number line:

The representation of equation on the Cartesian plane:

(iv) 2x + 9 = 0 

or x = -9/2 

The representation of equation on the number line:

The representation of equation on the Cartesian plane:

(v) 3x – 5 = 0 

or x = 5/3 

The representation of equation on the number line:

The representation of equation on the Cartesian plane: