What is the equation of a line, in general form, that passes through points (-1, 2) and (5, 2)?

The equation of the line that passes through the points (-1, 2) and (5, 2) is y = 2 . In general form, it is expressed as y − 2 = 0 . This indicates a horizontal line at y-coordinate 2.
;

Answered by Anonymous | 2025-07-03

To find the equation of a line in general form that passes through the points (-1, 2) and (5, 2), let's follow these steps:

Identify the type of line :

Since both points have the same y-coordinate (2), the line is horizontal.
The equation of a horizontal line passing through y = 2 is simply y = 2 .


Convert the line equation to general form :

General form of a line is A x + B y + C = 0 , where A, B, and C are constants.
For the horizontal line equation y = 2 , rewrite it as y − 2 = 0 .
This can be written as 0 ⋅ x + 1 ⋅ y − 2 = 0 , so A = 0, B = 1, C = -2.



Hence, the equation of the line in general form is y − 2 = 0 .
Therefore, the correct multiple-choice option is:

y − 2 = 0 .

Answered by DanielJosephParker | 2025-07-07