Question

select the correct answer. which equation represents the horizontal line passing through (-1,2)? a. ( x = -1 ) b. ( y = -1 ) c. ( x = 2 ) d. ( y = 2 )

Explanation:

Step1: Recall horizontal line equation

A horizontal line has the equation \( y = k \), where \( k \) is the y - coordinate of any point on the line.

Step2: Identify the y - coordinate

The point is \((-1,2)\). For a horizontal line passing through this point, the y - coordinate is 2. So the equation of the horizontal line is \( y = 2 \). Also, we can eliminate other options: \( x=-1 \) and \( x = 2 \) are vertical lines (since vertical lines have the form \( x=k \)), and \( y=-1 \) has a y - coordinate of - 1 which does not match the y - coordinate of the given point.

Answer:

D. \( y = 2 \)