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3 votes
Which equation represents a line in general form that passes through the points (-1, 2) and (5, 2)?

A) y - x - 2 = 0
B) x + y - 2 = 0
C) y - 2 = 0
D) x.2=f

1 Answer

7 votes

Final answer:

The line that passes through the points (-1, 2) and (5, 2) is horizontal, therefore has the equation y = 2, which can be written in general form as y - 2 = 0. The correct answer is option C).

Step-by-step explanation:

To find which equation represents a line that passes through the points (-1, 2) and (5, 2), you'll first notice that both points have the same y-coordinate, which means the line is horizontal. The equation for a horizontal line has the form y = k, where k is the y-coordinate that the line passes through. In this case, since both y-coordinates are 2, the equation is y = 2, which in general form is written as y - 2 = 0. Therefore, the correct option is C) y - 2 = 0.

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