Question

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

Answer 1

The answer is undefined

Answer 2

undefined

Explanation:

To find the slope of the line between two points, use the slope formula
`(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:

`((4)-(3))/((0)-(0)) \\= (4-3)/(0-0)\\=(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.)