Given:

A line which is passing through (–2, 3), the angle is 45°

By using the formula,

The equation of line is [y – y_{1} = m(x – x_{1})]

Here, angle, θ = 45°

The slope of the line, m = tan θ

m = tan 45°

= 1

The line passing through (x_{1}, y_{1}) = (–2, 3)

The required equation of line is y – y_{1} = m(x – x_{1})

Now, substitute the values, we get

y – 3 = 1(x – (– 2))

y – 3 = x + 2

x – y + 5 = 0

The equation of line is x – y + 5 = 0

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