SOLUTION: Is there a relationship between the sign (positive or negative) of the slope of a line and the angle the line makes with the x-axis? For example,if you graph y = 3x+5,versus the g

Question 775434: Is there a relationship between the sign (positive or negative) of the slope of a line and the angle the line makes with the x-axis?
For example,if you graph y = 3x+5,versus the graph of y = -3x+5
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Yes! Most definitely.
The the line makes with is given by arctan or tan^-1 of the slope.
For example if the slope is then the angle to the is degrees
Size of the angle formed with the is related to the sign of the slope.
Lines with slant to the , thus a angle is formed with the .
Lines with slant to the , thus a angle is formed with the .

(Green Line)
(Blue Line)

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