Question

Find the angle of inclination (in degrees) of the line passing through the points $(1,2)$ and $(2,3)$.

• A. ${60}^0$
• B. ${45}^0$
• C. ${30}^0$
• D. ${90}^0$

Answer 1

Answer: (B)

${45}^0$

Consider the given points.

$(1,2)$ and $(2,3)$

We know that the slope of the line which is passing through the two points

$m=\frac{y_2-y_1}{x_2-x_1}$

So,

$m=\frac{3-2}{2-1}$

$m=\frac{1}{1}=1$

Since,

$\tan \theta =m$

Therefore,

$\tan \theta =1$

$\tan \theta =\tan {45}^0$

$\theta ={45}^0$

Hence, this is the answer.