Question

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Explanation:

Step1: Analyze the line \( y = 2 \)

The equation \( y = 2 \) represents a horizontal line because for any \( x \)-value, the \( y \)-value is always 2. To find points on this line, we can choose any \( x \)-values and \( y = 2 \). For example, when \( x = 0 \), \( y = 2 \), so one point is \( (0, 2) \). When \( x = 3 \), \( y = 2 \), so another point is \( (3, 2) \).

Step2: Determine if it's horizontal or vertical

A horizontal line has a constant \( y \)-value (slope \( m = 0 \)), and a vertical line has a constant \( x \)-value (undefined slope). Since \( y = 2 \) has a constant \( y \)-value, it is a horizontal line.

Answer:

a. The line \( y = 2 \) is a horizontal line. To graph it, draw a straight line parallel to the \( x \)-axis passing through \( y = 2 \).
b. Two points on the line: \( (0, 2) \) and \( (3, 2) \) (any two points with \( y = 2 \) are valid).
c. It is a horizontal line.