Question 330958
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Slope of *[tex \Large \frac{3}{4}] means that for every positive difference of 4 in the horizontal direction, there is a positive difference of 3 in the vertical direction.  So pick any point you like in *[tex \Large \mathbb{R}^2].  Then move 4 units to the right, stop and move 3 units up, stop and mark your second point.  Two points is sufficient to uniquely determine a line in *[tex \Large \mathbb{R}^2].


The slopes of perpendicular lines are negative reciprocals of each other.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  L_1\ \perp\ L_2 \ \ \Leftrightarrow\ \ m_1\ =\ -\frac{1}{m_2}\ \text{ and } m_1,\, m_2\, \neq\, 0]



John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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