find the equation of the straight line which passes through the point (2,3) and makes an angle of 135 with the positive direction of the x axis

Answer 1

You are given that

point (2,3),and inclination(θ) =135⁰ here point (x₁,y₁)=(2,3)

so here we need to find slope

formula to fine slope m=tanθ⇒tan135⁰

= -1

∴ the line passes through the point (2,3) and making an angle 135⁰ with positive X-axis is

y-y₁=m(x-x₁₎

_{⇒ y-3 = -1(x-2)}

_{⇒ y-3 = -x+2 ⇒x+y-3-2=0}

_⇒x+y-5=0