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Consider the line with non-zero slope m and y-intercept b, that is the line described by...

Consider the line with non-zero slope m and y-intercept b, that is the line described by the equation y = mx + b where m is not equal to 0. Use dot products of vectors to show that any line perpendicular to this one must have a slope of -1/m. Also show that in the case where m=0, any perpendicular line must be vertical (and hence have undefined slope).
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