The inclination of the line x - y + 3 = 0 with the positive... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

The inclination of the line x - y + 3 = 0 with the positive direction of x-axis is

A

$45^{\circ}$

B

$135^{\circ}$

C

$- 45^{\circ}$

D

$- 135^{\circ}$

Answer

$45^{\circ}$

Explanation

Solution

The equation of the line x - y + 3 = 0 can be rewritten as y = x + 3 $\Rightarrow$ m = tan $\theta$ = 1 and hence $\theta = 45^{\circ}$ .