Question

. Determine the slope of the line that passes through the given points.
(19,8), (19,4)

Answer 1

Slope is undefined.

Explanation:

The slope of a line is calculated using the following formula:

`\sf Slope =( (y_2 - y_1))/((x_2 - x_1))`

where

(x1, y1) and (x2, y2) are the coordinates of two points on the line.

In this case, the points are (19, 8) and (19, 4).

So, the slope is:

`\sf Slope = ((4 - 8))/((19 - 19) )= (-4)/(0)`

The slope is undefined because the denominator is 0. This means that the line is vertical.

In general, a vertical line has an undefined slope. This is because the y-coordinate of all points on a vertical line is the same, so there is no change in y as x changes.