# How to I find the degrees of a line given it's slope?

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For example, a flagpole is tilted back and has a slope of -5 (with the ground being the x-axis). What is it's angle to the ground in degrees?

For example, a flagpole is tilted back and has a slope of -5 (with the ground being the x-axis). What is it's angle to the ground in degrees?

##### 1 Answer

For a straight line when expressed in the slope-intercept form as

#y=mx+c#

we know that

Also that by definition

where

#:. theta=tan^-1m#

For the given problem

This implies that the angle

Now using tables or a calculator we get

This angle is as measured from

Or Angle of the flagpole