SOLUTION: Q) Find the angle θ (in radians and degrees) between the lines. Round to three decimal places, if necessary.
6x + 2y = 9
–5x + 6y = 4
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Question 329030: Q) Find the angle θ (in radians and degrees) between the lines. Round to three decimal places, if necessary.
6x + 2y = 9
–5x + 6y = 4
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The angle that the line makes with respect to the y axis has a relationship to the line.
The tangent of the angle is equal to the change in y divided by the change in x using trigonmetry.
But the change in y over the change in x is also the slope of the line.
Convert both lines to slope intercept form and find their slopes.
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radians
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radians
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The angle between them is then
radians
degrees
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