Write the equation of the line that is parallel to y-axis and passing through the Points

Question:

Write the equation of the line that is parallel to y-axis and passing through the Points

(i) (4, 0) 

(ii) (- 2, 0) 

(iii) (3, 5)

(iv) (- 4, - 3)

Solution:

(i) We are given the coordinates of the Cartesian plane at (4, 0)

For the equation of the line parallel to y axis, we assume the equation as a one variable equation

independent of y containing x equal to 4

We get the equation as y = 3

(ii) We are given the coordinates of the Cartesian plane at (-2, 0)

For the equation of the line parallel to y axis, we assume the equation as a one variable equation

independent of y containing x equal to - 2

We get the equation as y = - 4

(iii) We are given the coordinates of the Cartesian plane at (3, 5)

For the equation of the line parallel to y axis, we assume the equation as a one variable equation

independent of y containing x equal to 3

We get the equation as y = -5

(iv) We are given the coordinates of the Cartesian plane at (- 4, -3)

For the equation of the line parallel to y axis, we assume the equation as a one variable equation

independent of y containing x equal to - 4

We get the equation as y = 4

 

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