Question

find an equation of the horizontal line through (-1, 4). the equation is \boxed{}. (type your answer in standard form.)

Explanation:

Step1: Recall horizontal line equation

A horizontal line has a constant \( y \)-value for all \( x \)-values. The general form of a horizontal line is \( y = k \), where \( k \) is the \( y \)-coordinate of any point on the line.

Step2: Determine \( k \) from the point

The line passes through \( (-1, 4) \). The \( y \)-coordinate of this point is \( 4 \), so \( k = 4 \).

Step3: Write the equation in standard form

The standard form of a linear equation is \( Ax + By = C \), where \( A \), \( B \), and \( C \) are integers, and \( A \geq 0 \). For \( y = 4 \), we can rewrite it as \( 0x + 1y = 4 \).

Answer:

\( y = 4 \) (or \( 0x + y = 4 \))