Find the angle between the x-axis and the line joining the points… - Vidyadip

Question

Find the angle between the x-axis and the line joining the points (3, -1) and (4, -2).

✓

Answer

Let A(3, -1) and B(4, -2) be two points. Let Q be the angle which AB makes with positive direction of x-axis.
$\therefore$ Slope of AB = $\tan \theta$
Also Slope of AB $= \frac{{ - 2( - 1)}}{{4 - 3}} = \frac{{ - 1}}{1} = - 1$
Now $\tan \theta = - 1 = - \tan 45^\circ = \tan (180 - 45)^\circ$
$\Rightarrow \theta = 135^\circ$

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