Question

Find the angle made by the line 5,3

Answer 1

QUESTION:

Find the angle made by the line joining (5,3) and (-1,-3) with the positive direction of x?

ANSWER:

The points joining the line are (5,3) and (-1,-3).

Let's find the slope of the line.

m=Δy/Δx

Or,

m=3−(−3)/5−(−1)

m=6/6

Or, m=1

Now, we know that the slope of a straight line is the tangent of the angle made between the x-axis and the line.

Let this angle be θ

Hence,

tanθ=m

tanθ=1

But,

tan45°=1

Hence,

θ=45°

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