Find the slope, if it exists, of the line containing the pair of points (5,-9) and (5,-10) Select the correct choice bellow and, if necessary, fill in the answer box to complete your choice. A) The slope of the line is___ b)The slope is undefined
Check the x coordinates of both points.
The slope of a vertical line (x coordinate of both points are equal) is undefined.
\[Slope = {\text{change in }y \over \text{change in }x} \] Whatever the change in y is, first look at the change in \(x\). \[\implies {\text{change in }y \over 0} \]Do you \(\textbf{really}\) think that the slope exists?
Another way to think of it is that if it's a straight line and it passes through x=5 for both points, then x=5 all the time. There is no y in the equation x=5, so there's no way to put it into y=mx+b form. That implies that there is no (defined) slope.
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