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Question
The graph of y = 6 is a line ______.
Options
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
Solution
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.
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