Q31. - Geometry

Question

A line intersects the x- axis at a 45° angle.

What is its stope? 

Step-by-Step Solution

Answer

We showed that$\tan \angle A=\text{slope of }\overline{AC}$ .

Step-1 – Given

Given that a line intersects the x-axis at a${45}^{\circ }$ angle.

Step-2 – To determine

We have to find the slope of the line.

Step-3 – Calculation

We know that, the slope of a line is defined as “the tangent of the angle which the line makes with positive direction of the$x-axis$  in the anticlockwise direction”.

So,$\text{slope}=\tan \theta =\tan {45}^{°}=1$ .

Hence, the slope of line is 1.