Answer:
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Step-by-step explanation:
To find the slope of the line between two points, use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line passes through, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point the line also passes through. Therefore, use the x and y values of the points (0,3) and (0,4) to find the slope. Substitute them into the formula in the right order:
[tex]\frac{(4)-(3)}{(0)-(0)} \\= \frac{4-3}{0-0}\\=\frac{1}{0}[/tex]
However, we can't divide 1 by 0. Therefore, the slope is undefined. (You could also graph the points to see that they form a vertical line, and all vertical lines have an undefined slope.)
