A line passes through the point $(4,3)$ and makes a $45^{c}irc$ angle with the positive $x$–axis. Find its equation.

Step-by-step solution

1. The angle with the positive $x$–axis is $45^{\circ }$, so the slope $m=\tan 45^{\circ }=1$.
2. Use the point–slope form: $y-3=1(x-4)$.
3. Simplify: $y-3=x-4$.
4. Rearrange: $y=x-1$.
5. Hence the required line is $y=x-1$.

Concept tested: Equation of line at given angle

Published 10 October 2026 · How this solution was prepared and checked