If a line has an angle of inclination of 135 degrees with the positive x-axis, what is its slope?
Answer and explanation
Correct answer: A. -1
- Step 1: The slope m of a line is equal to the tangent of its angle of inclination theta: m = tan(theta).
- Step 2: Here, theta = 135 degrees.
- Step 3: m = tan(135 degrees) = tan(180 - 45) = -tan(45 degrees) = -1.
Answer
-1.
Why not the others: '1' is tan(45 degrees); '-sqrt(3)' is tan(120 degrees); '-sqrt(3)/3' is tan(150 degrees).
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