Question

Find the angle made by the x-axis and line joining point (3,-1) and (4,-2).
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Answer 1

ANSWER

The slope of the line joining the points (3,−1) and (4,−2) is m=

4−3

−2−(−1)

=−2+1=−1

Now the inclination (θ) of the line joining the points (3,1) and (4,2) is given by tanθ=−1

A slope of the line is an inclination with the x-axis.

Thus, the angle between x-axis and the line joining the points (3,1) and (4,2) is 135°

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Answer 2

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The slope of the line joining the points (3,−1) and (4,−2) is m=

4−3

−2−(−1)

=−2+1=−1

Now the inclination (θ) of the line joining the points (3,1) and (4,2) is given by tanθ=−1

A slope of the line is an inclination with the x-axis.

Thus, the angle between x-axis and the line joining the points (3,1) and (4,2) is 135°