Question 560094
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The line *[tex \Large y\ =\ 5], is a line where ALL of the ordered pairs have a *[tex \Large y]-coordinate equal to 5, in other words a horizontal line.  Horizontal lines have a zero slope.  Parallel lines have identical slopes, so any line parallel to a horizontal line has to have a zero slope and will have an equation of the form *[tex \Large y\ =\ b] where *[tex \Large b] is the *[tex \Large y] coordinate of ANY point on that line.  Since the desired line contains the point *[tex \Large \left(-3,2\right)], then an equation that represents this line is *[tex \Large y\ =\ 2]


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