Question

Write the equation of the line that is parallel to
y axis and passing through the points (4,0)
​

Answer 1

Answer:

y=-3

Step-by-step explanation:

Generally the line equation is y=mx+c so equation of y-axis is x=0.

Slope of the y-axis =0

So y=mx+c

(i) The point (4,0) is in the line

0=0(4)+c

c=0

y=0(4)+0

y=0

So the equation is y=4

(ii) The point (-2,0) is in the line

0=0(-2)+c

c=0

y=0(-2)+0

y=0

So the equation is y=0

(iii) The point(3,5) is in the line

5=0(3)+c

c=5

y=0(3)+5

y=5

So the equation is y=5

(iv) The point (-4,-3) is in the line

-3=0(-4)+c

c=-3

y=0(-4)+(-3)

y=-3

So the equation is y=-3

Answer 2

Step-by-step explanation:

The line || to y-axis has x-coordinate constant

Since the line passes through [4,0]

Hence, equation of the line is x = 4

Hope it helps

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