Write the equations of a line equidistant from the x-axis and the y-axis at any point on the line - Maths - Linear Equations in Two Variables

Question

Write the equations of a line equidistant from the x-axis and
the y-axis at any point on the line

Ashutosh Verma · Accepted Answer

Answer :

We can write equations of a line equidistant from x -axis
and y -axis , Are

y = x

y = - x

Both equations of line are equidistant from x -axis and
y -axis ,

First we form a table for different value of x and
y , As :

y = x

y = - x

x
y
x
y

1
1
1
-1

4
4
5
-5

8
8
8
-8

0
0
0
0

-1
-1
-1
1

-5
-5
-5
5

-8
-8
-8
8

we can draw these line on x - y plane As :

Now we can see that at any point on these lines are equidistant
from x -axis and y -axis

Write the equations of a line equidistant from the x-axis and the y-axis at any point on the line.