Correct Answer - Option 1 : x - y - 10 = 0

We know that slope = tan θ

Here slope would be = tan 45° = 1

Equation of line having slope m and passing through (x_{1}, y_{1})

y - y_{1 }= m (x - x_{1})

Here slope = 1 and point (4, -6)

(y + 6) = 1 (x - 4)

x - y - 10 = 0