Find the equation

A line which is passing through ( – 2,3), the angle is 45^o.

To Find: The equation of a straight line.

Formula used: The equation of line is [y – y₁ = m(x – x₁)]

Explanation: Here, angle, θ = 45^o

SO, The slope of the line, m = tan θ

m = tan 45^o

m = 1

The line passing through (x₁,y₁) = ( – 2,3)

The required equation of line is y – y₁ = m(x – x₁)

y – 3 = 1(x – ( – 2))

y – 3 = x + 2

x – y + 5 = 0

Hence, The equation of line is x – y + 5 = 0