Find the angle in degrees (^o) made by the li | vedclass

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(C) The slope $m$ of a line passing through points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $m = \frac{y_2 - y_1}{x_2 - x_1}$.Given points are $(1, 0

Vedclass · Accepted Answer

$150$

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(C) The slope $m$ of a line passing through points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $m = \frac{y_2 - y_1}{x_2 - x_1}$.Given points are $(1, 0)$ and $(-2, \sqrt{3})$.$m = \frac{\sqrt{3} - 0}{-2 - 1} = \frac{\sqrt{3}}{-3} = -\frac{1}{\sqrt{3}}$.The angle $	heta$ made by the line with the $x$-axis is given by $	an 	heta = m$.$	an 	heta = -\frac{1}{\sqrt{3}}$.Since $	an(150^o) = -\frac{1}{\sqrt{3}}$,the angle $	heta = 150^o$.

Find the angle in degrees $(^o)$ made by the line joining the points $(1, 0)$ and $(-2, \sqrt{3})$ with the $x$-axis.

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