Question

Draw the graph of each of the following linear equations and answer the following question.
i) y=x
ii) y=2x
iii) y=-2x
iv) y=3x
(v) y=-3x

1) Are all these equations of the form y=mx, where m is a real number?
(2) Are all these graphs passing through the origin?
(3) What can you conclude about these graphs?​

Answer 1

SOLUTION

TO DETERMINE

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

i) y = x

ii) y = 2x

iii) y = - 2x

iv) y = 3x

(v) y = -3x

1) Are all these equations of the form y=mx, where m is a real number

(2) Are all these graphs passing through the origin

(3) What can you conclude about these graphs

EVALUATION

$1)$

For the line y = x

This line is of the form y = mx

where m = 1 , a real number

For the line y = 2x

This line is of the form y = mx

where m = 2 , a real number

For the line y = -2x

This line is of the form y = mx

where m = - 2 , a real number

For the line y = 3x

This line is of the form y = mx

where m = 3 , a real number

For the line y = -3x

This line is of the form y = mx

where m = - 3 , a real number

2) From the graph we see that each line passes through the origin

3) From the graph we can conclude that the equation of the line passing through origin is of the form y = mx where m is a real number

Graph : For graph refer to the attachment

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