Question

A line passes through the two given points. Is it vertical, horizontal, or neither?

(5,2), (5,-2)
Vertical
Horizontal
Neither​

Answer 1

A line passes through the two given points (5,2), (5,-2). The line is vertical line

Solution:

Given, two points are (5, 2) and (5, -2)

We have to find that a line that passes through the given two points is vertical or horizontal or neither.

First let us find the slope of the line that passes through given two points.

So, slope of line m
`=(y_(2)-y_(1))/(x_(2)-x_(2)) \text { where, }\left(x_(1), y_(1)\right) \text { and }\left(x_(2), y_(2)\right) \text { are two points on line. }`

So slope of our line
`=(-2-2)/(5-5)=(-4)/(0)` = undefined

Here slope of our line is undefined which means it is parallel to the y – axis.

Hence, line passing through given points is vertical line