Question

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

(5, 2), (7, 2)
need step by step to understand

Answer 1

The line through the points (5, 2) and (7, 2) is horizontal because the y-coordinate remains constant while the x-coordinates change. Therefore, the line has a slope of 0 and is represented by the equation y = 2.

Step-by-step explanation:

To determine if a line passing through two given points is vertical, horizontal, or neither, we need to compare the x-coordinates and y-coordinates of the given points. The two points given are (5, 2) and (7, 2).

We observe that the y-coordinate is the same in both points (2), but the x-coordinate changes from 5 to 7. This means that the line is horizontal because there is no change in the y-coordinates as we move from one point to the other on the line.

Since horizontal lines have a slope of 0 and do not rise or fall as they move from left to right, we can conclude that:

The line passing through the points (5, 2) and (7, 2) is horizontal.

This line would be represented by the equation y = 2.

It is not vertical or slanted, so it has neither a positive nor a negative slope.

Answer 2

well to give your question an answer the points (as i have graphed them) seem to have the same Y axis. This means that a horizontal line can pass through the points. Horizontal: In geometry, a horizontal line is one which runs from left to right across the page. It comes from the word 'horizon', in the sense that horizontal lines are parallel to the horizon.