Question

Find the slope of the line going through the point (0,3) and (0,4)

Answer 1

The answer is undefined

Answer 2

Answer:

undefined

Step-by-step explanation:

To find the slope of the line between two points, use the slope formula $\frac{y_2-y_1}{x_2-x_1}$. $x_1$ and $y_1$ represent the x and y values of one point the line passes through, and $x_2$ and $y_2$ 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:

$\frac{(4)-(3)}{(0)-(0)} \\= \frac{4-3}{0-0}\\=\frac{1}{0}$

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.)