Question

1. $y = 4$

Explanation:

Step1: Analyze the equation \( y = 4 \)

The equation \( y = 4 \) represents a horizontal line. For any value of \( x \), the \( y \)-coordinate is always 4.

Step2: Identify the slope

The slope \( m \) of a horizontal line is calculated using the formula \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Let's take two points on the line, say \( (0, 4) \) and \( (1, 4) \). Then \( m=\frac{4 - 4}{1 - 0}=\frac{0}{1} = 0 \).

Step3: Determine the y - intercept

The y - intercept \( b \) is the value of \( y \) when \( x = 0 \). From the equation \( y=4 \), when \( x = 0 \), \( y = 4 \), so the y - intercept is 4.

Answer:

The line \( y = 4 \) is a horizontal line with a slope of \( 0 \) and a y - intercept of \( 4 \). If the question was to find the slope or y - intercept:

• Slope: \( \boldsymbol{0} \)
• Y - intercept: \( \boldsymbol{4} \)