Problem

The equation of the line,
\[
y=3 x
\]
is a horizontal line.
True
False

Answer

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Answer

Final Answer: \(\boxed{\text{False}}\).

Steps

Step 1 :The equation given is y = 3x. This is the equation of a line in slope-intercept form, y = mx + b, where m is the slope of the line and b is the y-intercept.

Step 2 :In this case, the slope of the line is 3, which means the line is not horizontal.

Step 3 :A horizontal line would have a slope of 0.

Step 4 :Therefore, the statement 'The equation of the line, y=3x, is a horizontal line' is false.

Step 5 :Final Answer: \(\boxed{\text{False}}\).

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