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 a constant (the \( y \)-coordinate of all points on the line).

Step2: Determine \( k \) from the point

The line passes through \((-1, 2)\). For a horizontal line, the \( y \)-coordinate is constant. So the \( y \)-coordinate of the point \((-1, 2)\) is \( 2 \), meaning \( k = 2 \). Thus the equation is \( y = 2 \).

Answer:

D. \( y = 2 \)