Question

Find the equation of a line which makes an angle of 135${}^{\circ }$ with the x-axis and passes through the point (3, 5)

Answer 1

Here, m = tan 135${}^{\circ }$ = tan ${180}^{\circ }-{45}^{\circ }$ = - tan ${45}^{\circ }$ = -1

Hence, the required equation is

$\frac{y-5}{x-3}=-1\iff (y-5)=3-x\iff x+y-8=0$