227k views
25 votes
A straight line has a slope of 2.08. Calculate the angle that the line makes with the x (horizontal) axis.

1 Answer

4 votes

Answer:

The angle that the line makes with x-axis of of 64.3º.

Explanation:

Equation of a line, and angle with the x axis:

The equation of a line has the following format:


y = mx + b

In which m is the slope.

The angle that the line makes with the x axis is given by the angle which has tangent m, that is,
a = \tan^(-1){m}.

In this question:

We have that
m = 2.08. So


a = \tan^(-1){2.08} = 64.3

The angle that the line makes with x-axis of of 64.3º.

User Peter Pointer
by
4.5k points