Answer:
tan(θ) = 2/3
Step-by-step explanation:
You want the tangent of the angle θ between the x-axis and the line connecting the origin to point (3, 2).
Tangent
The tangent ratio is given by ...
Tan = Opposite/Adjacent
In the attachment, you can see that the side opposite the angle of interest is the y-coordinate of the point. The side adjacent is the x-coordinate. That means ...
tan(θ) = y/x
tan(θ) = 2/3
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Additional comment
In general, the tangent of the angle a line makes with the x-axis is the slope of the line. Your line has slope 2/3, and that is the tangent of the angle it makes with the x-axis.
