Question

Draw the graph of each of the following linear equations in two variables : 

(i) x + y = 4 

(ii) x – y = 2 

(iii) y = 3x 

(iv) 3 = 2x + y

Answer 1

(i) x + y = 4 

This can be written in the form of y = mx + c, then y = 4 – x.

x	0	1	4	-1
y	4	3	0	5

 

(ii) x – y = 2 

-y = 2 – x 

y = -2 + x

 y = x – 2

x	0	1	2	4
y	-2	-1	0	2

(iii) y = 3x

x	0	1	2	-1
y	0	3	6	-3

(iv) 3 = 2x + y 

2x + y = 3 

y = 3 – 2x

x	0	1	2	-1
y	3	1	-1	5