Given:
x-2y=7
6x+2y=5
Find the slope for line 1.
x-2y=7
-2y=-x+7
y=1/2x-7/2
The slope of line 1 is m_1=1/2.
Find the slope of line 2.
6x+2y=5
2y=-6x+5
y=-3x+5/2
The slope line 2 is m_2=-3.
Find the slope between two lines using the formula
tan(theta)=|(m_2-m_1)/(1+m_1m_2)|
tan(theta)=|((-3)-(1/2))/(1+(1/2)(-3))|=7
theta=arctan(7)=81.9^@=1.4289 radians
The angle between the two lines is 81.9 degrees or 1.4289 radians.
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