Question

write the equation of the line graphed below in simplest form.

Explanation:

Step1: Identify the type of line

The line is horizontal, so its slope \( m = 0 \).

Step2: Find the y - intercept

The line crosses the y - axis at \( (0, 6) \), so the y - intercept \( b = 6 \).

Step3: Use the slope - intercept form

The slope - intercept form of a line is \( y=mx + b \). Substituting \( m = 0 \) and \( b = 6 \), we get \( y=0\times x+6 \), which simplifies to \( y = 6 \).

Answer:

\( y = 6 \)