Question

What is the slope of the line that passes through (17, −13) and (17, 8)?

(also can you try to explain ive been having trouble with these types of question)

Answer 1

Slope is undefined. Line parallel to y-axis.

Explanation:

By Analytic Geometry, we can determine the slope of a line by knowing two distinct lines and using the definition of secant line:

`m = (y_(2)-y_(1))/(x_(2)-x_(1))` (1)

Where:

`(x_(1), y_(1))` - Coordinates of the initial point.

`(x_(2), y_(2))` - Coordinates of the final point.

`m` - Slope.

If we know that
`(x_(1), y_(1)) = (17, -13)` and
`(x_(2), y_(2)) = (17, 8)`, then the slope of the line is:

`m = (8-(-13))/(17-17)`

`m = (21)/(0)`

The slope is undefined, which means that line is parallel to y-axis.