Question

Give the graphical representation of the following equation a) on the number line and b) on the Cartesian plane. 

i) x = 3 

ii) y + 3 = 0 

iii) y = 4 

iv) 2x – 9 = 0 

v) 3x + 5 = 0

Answer 1

i) x = 3 is a line parallel to Y-axis at a distance of 3 units on the right side of the origin. 

ii) y + 3 = 0 y = – 3 is a line parallel to X-axis, below the origin. 

iii) y = 4 is a line parallel to X-axis at a distance of 4 units above the origin. 

iv) 2x – 9 = 0 ⇒ x =9/2 = 4.5 is a line parallel to Y-axis at a distance of 4.5 units, right side of the zero.

v) 3x + 5 = 0 ⇒ 3x = -5 x = -5/3 is a line parallel to Y – axis at a distance of 5/3 units on the left side of the origin 

x = 3.

x	3	3	3
y	-1	2	4

y + 3 = 0

x	-4	6	8
y	-3	-3	-3

y = 4

x	-2	3	5	8
y	4	4	4	4

 2x – 9 = 0

x	4.5	4.5	4.5
y	-2	4	6

 3x + 5 = 0

x	-5/3	-5/3	-5/3
y	-1	2	4