The slopes of the lines, making angle of measures $45^{\circ}$ with the line $2 x-3 y=5$ are

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Aicharya · Accepted Answer

Let the required slope of the line be $m$ $\begin{aligned} & \Rightarrow 	an 45^{\circ}=\left|\frac{m-\frac{2}{3}}{1+m 	imes \frac{2}{3}}ight| \ & \Rightarrow \frac{3 m-2}{3+2 m}= \pm 1 \ & \Rightarrow m=5 	ext { or } m=\frac{-1}{5}\end{aligned}$

The slopes of the lines, making angle of measures $45^{\circ}$ with the line $2 x-3 y=5$ are

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