Question

The graph of y = 6 is a line ______.

विकल्प

• parallel to x-axis at a distance 6 units from the origin

• parallel to y-axis at a distance 6 units from the origin

• making an intercept 6 on the x-axis

• making an intercept 6 on both the axes

Answer 1

The graph of y = 6 is a line parallel to x-axis at a distance 6 units from the origin.

Explanation:

Given equation of a line can be written as, 0 · x + l · y = 6

To draw the graph of above equation, we need atleast two solutions.

When x = 0, then y = 6

When x = 2, then y = 6

x	0	2
y	6	6

Hence, we find two points A(0, 6) and B(2, 6).

So, draw the graph by plotting these points and joining them, which is shown as follows:

∴ The line PQ parallel to x-axis at a distance 6 units from origin is the required graph of y = 6.