Mathematics

What can be said regarding a straight line if its slope is negative?

  1. Inclination, θ is an acute angle.

  2. Inclination, θ is an obtuse angle.

  3. Either the line is x-axis or it is parallel to the x-axis.

  4. Either the line is y-axis or it is parallel to the y-axis.

Straight Line Eq

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Answer

If the slope is negative, then tan θ must be negative.

tan θ < 0

This happens only when the angle θ made with the positive x-axis is between 90° and 180°.

And angles between 90° and 180° are called obtuse angles.

Hence, option 2 is the correct option.

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