Answer:
The angle that the line makes with x-axis of of 64.3º.
Step-by-step explanation:
Equation of a line, and angle with the x axis:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
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, [tex]a = \tan^{-1}{m}[/tex].
In this question:
We have that [tex]m = 2.08[/tex]. So
[tex]a = \tan^{-1}{2.08} = 64.3[/tex]
The angle that the line makes with x-axis of of 64.3º.
