Question

Draw the graph of each of the following linear equations and answer the following questions.

i) y – x 

ii) y = 2x 

iii) y = – 2x 

iv) y = 3x 

v) y = – 3x

i) Are all these equations of the form y = mx; where m is a real number ?

ii) Are all these graphs passing through the origin ?

iii) What can you conclude about these graphs ?

Answer 1

i) y = x

x	1	2
y	1	2
(x, y)	(1, 1)	(2, 2)

ii) y = 2x

x	1	2
y	2	4

iii)  y = – 2x

x	1	2
y	-2	-4

 iv)  y = 3x

x	1	2
y	3	6

 v) y = – 3x

x	1	2
y	-3	-6

 

i)  Yes. All the equations are of the form y = mx where m e R.

ii) Yes. All these lines pass through the origin.

iii) All lines of the form y = mx, pass through the origin.