Why it is not necessary to use the distance formula for vertical or horizontal segments

The distance of vertical segments is found from the difference between the y-coordinate values, distance = y₂ - y₁

The distance for horizontal segments is found from the difference between the x-coordinate values, distance = x₂ - x₁

Step-by-step explanation:

The distance formula for finding the distance between two points with the given coordinates, (x₁, y₁), (x₂, y₂) can be presented as follows;

For vertical segments, we have that the values of the x-coordinates are the same for both points, such as x₁ = x₂ which gives the distance between the points as follows;

Therefore, the distance of vertical segments is found by simply finding the difference between the y-coordinate values, distance = y₂ - y₁

Similarly, for horizontal segments, we have the values of the y-coordinates are the equal for both points, such as y₁ = y₂ which gives the distance between the points as follows;

The distance of horizontal segments is the difference between the x-coordinate values, distance = x₂ - x₁.

won't that be plagrisim thought?

step-by-step explanation:

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!