Question

the slope of the line which makes 3π/4 with the positive direction of x-axis is

Answer 1

hope it will help you:-)

Answer 2

Answer:

The slope of the line which makes an angle of $\frac{3\pi}{4}$ with positive direction of x-axis is m=-1

Step-by-step explanation:

Given that,

A line makes an angle of $\frac{3\pi}{4}$ with positive direction of x-axis and we are required to find the slope of the line.

We know that if an straight line makes an angle $\theta$ with the positive direction of x-axis,its slope is tangent of that angle or mathematically $m=tan\theta$

For our problem we have $\theta =\frac{3\pi}{4}$

Hence,the slope of line is calculated in the following way

$m=tan\frac{3\pi}{4} =tan135^{0}=-tan45^{0}(Q_{2})=-1$

Therefore,The slope of the line which makes an angle of $\frac{3\pi}{4}$ with positive direction of x-axis is m=-1

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