Question

which of thr following equations represents a line parallel to x- axis? a. x=y b. 2x+3=7 C. y=4 d. x=3​

Answer 1

The only option C) y=4 represents.

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Which of the following equations represents a line parallel to x- axis

a. x = y

b. 2x + 3 = 7

c. y = 4

d. x = 3

EVALUATION

CHECKING FOR OPTION : 1

Here the given equation of the line is x = y

Which represents the equation of a line passing through the origin (0,0)

In the graph black line represents the line x = y

So this option is not correct

CHECKING FOR OPTION : 2

Here the given equation of the line is 2x + 3 = 7

Which can be rewritten as below

2x + 3 = 7

⇒ 2x = 4

⇒ x = 2

Which represents the equation of a line parallel to y axis at a distance of + 2 unit from origin

In the graph green line represents the line 2x + 3 = 7

So this option is not correct

CHECKING FOR OPTION : 3

Here the given equation of the line is y = 4

Which represents the equation of a line parallel to x axis at a distance of + 4 unit from origin

In the graph red line represents the line y = 4

So this option is correct

CHECKING FOR OPTION : 4

Here the given equation of the line is x = 3

Which represents the equation of a line parallel to y axis at a distance of + 3 unit from origin

In the graph blue line represents the line x = 3

So this option is not correct

FINAL ANSWER

Hence the correct option is c. y = 4

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