Question

write the equation of line which is parallel to X-axis and distance of 6 units from it and below the X-axis

Answer 1

Answer:

y = -6

Step-by-step explanation:

We know that equation of the x-axis is  y = 0.

Now,

Since the line is parallel to the x-axis, its slope is 0.

And, since it passes 6 units below x axis, so it passes through the coordinates,   (0,-6)  .

Using point-slope form form,

(y - y1) = m(x - x1)

(y + 6) = 0(x - 0)

So, y = -6 , which is the required equation.

Answer 2

Parallel to x axis means its co-ordinates are (0,y)

If its 6 units away and below from x axis then its co-ordinates are (0,-6)

The equation is

y=-6