Question

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

What is its stope?

Short answer

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

Step-by-step solution

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.