Question

graph the equation. 5y = 30 use the graphing tool to graph the equation. click to enlarge graph

Explanation:

Step1: Solve for y

To graph the equation \(5y = 30\), we first solve for \(y\) by dividing both sides of the equation by 5.
\[
\frac{5y}{5}=\frac{30}{5}
\]
\[
y = 6
\]

Step2: Analyze the graph

The equation \(y = 6\) represents a horizontal line. In the coordinate plane, a horizontal line has a constant \(y\)-value for all \(x\)-values. So, this line will pass through all points where \(y = 6\), regardless of the \(x\)-coordinate. For example, some points on this line are \((0, 6)\), \((1, 6)\), \((-1, 6)\), etc. When graphing, we draw a horizontal line parallel to the \(x\)-axis that intersects the \(y\)-axis at \(y = 6\).

Answer:

The graph of the equation \(5y = 30\) (or \(y = 6\)) is a horizontal line passing through \(y = 6\) for all \(x\)-values.