Question

(ii) Write the co-ordinates of point of intersection of Y-axis and a line parallel to X-axis at a distance of 5 units below it.

anwer is (0,-5)​

Answer 1

Answer:

y = - 5

Step-by-step explanation:

The equation of the line parallel to X-axis at a distance of 5 units from it and below the X-axis is y = −5.

Answer 2

The co-ordinates of point of intersection of Y-axis and a line parallel to X-axis at a distance 5 units below it is (0,-5)

Given:

A line parallel to X-axis at a distance of 5 units below it

To find:

The co-ordinates of point of intersection of Y-axis and the given line

Solution:

We know that the equation of a line parallel to X-axis is given by the equation: y = k

where 'k' is a constant value and is given by the distance of the line from the X-axis.

Since the given line is at a distance 5 units from the X-axis below it i.e. at a distance -5 units from the X-axis, its equation is given as: y = -5

Also, the equation of Y-axis is given as: x = 0

We are required to find the point of intersection of the lines y = -5 and x = 0, whose co-ordinates is given as

x co-ordinate of the point of intersection = 0 and

y co-ordinate of the point of intersection = -5

Therefore point of intersection of the two line is (0,-5)

Hence

the co-ordinates of point of intersection of Y-axis and the given line is (0,-5)

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