Question

write the equation of a line parallel to y axis and passing through the point (5,8)​

Answer 1

Answer:

what this is I got confused. I am unable

Answer 2

The equation of a line parallel to y axis and passing through the point (5,8)​ is x = 5

We know that the slope of y-axis is infinite, which is 1/0.

According to the equations of line, we know that,

y-y₁ = m(x-x₁)    ...(1)

where m is the slope of the line parallel to y axis, which also has slope of 1/0.

x₁ and y₁ are the abcissa and ordinates of the point (5,8), which are 5 and 8 respectively.

Putting the respective values of x₁ and y₁, we get:

y-8 = 1(x-5)/0

⇒ (x-5) = 0*(y-8)

⇒ (x-5) = 0

⇒ x = 5

So, the line x = 5 is the required solution.