Chapter 13.2, Problem 31WE

To determine

To find the slope of a line.

Answer to Problem 31WE

It is proved that $\tan \angle A=\text{slope of }\overline{AC}$

Explanation of Solution

Given:

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

  

Calculation:

Slope of line is defined as a the tangent of angle which the line makes with positive direction of $x-axis$ in anticlockwise direction.

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

Therefore the slope of line is $1$ .