Question

graph the line $y = - 8$.

Explanation:

Step1: Analyze the equation

The equation \(y = - 8\) represents a horizontal line. For any value of \(x\), the \(y\)-coordinate is always \(-8\).

Step2: Plot points

Choose some \(x\)-values, say \(x=-2\), \(x = 0\), \(x=2\). When \(x=-2\), \(y=-8\); when \(x = 0\), \(y=-8\); when \(x=2\), \(y=-8\). So we have the points \((-2,-8)\), \((0,-8)\), \((2,-8)\)

Step3: Draw the line

Connect the points \((-2,-8)\), \((0,-8)\), \((2,-8)\) with a straight line. This line is parallel to the \(x\)-axis and passes through the point \((0,-8)\) on the \(y\)-axis.

Answer:

A horizontal line passing through the \(y\)-axis at \((0, - 8)\) with all points having a \(y\)-coordinate of \(-8\) (e.g., \((-2,-8)\), \((0,-8)\), \((2,-8)\) etc.) is the graph of \(y=-8\)