Question

graph the line $y = -3$.

Explanation:

Step1: Analyze the equation

The equation \( y = -3 \) is a horizontal line. For any value of \( x \), the \( y \)-coordinate is always \(-3\). So we need to find the line where \( y=-3 \) on the coordinate plane.

Step2: Locate the y - value

On the given coordinate plane, find the horizontal line that passes through \( y = - 3 \). This line will be parallel to the \( x \)-axis and will intersect the \( y \)-axis at \( (0,-3) \) and will have points like \( (1,-3) \), \( (2,-3) \), \( (-1,-3) \) etc. So we draw a horizontal line through \( y=-3 \) across the graph.

Answer:

The graph of \( y = - 3 \) is a horizontal line parallel to the \( x \)-axis, passing through all points with \( y \)-coordinate \(-3\) (e.g., \((0, - 3)\), \((1, - 3)\), \((-1, - 3)\) etc.) on the given coordinate plane.