Question

match each equation in the first row with the sketch that most resembles its graph in the second row. drag each graph above to the area that corresponds to its equation. items may only be used once. equation: y = 4, y = - 4, x = 4, x = - 4 sketch

Explanation:

Step1: Analyze \(y = 4\)

The equation \(y=4\) represents a horizontal line where for all values of \(x\), \(y = 4\). It is parallel to the \(x\) - axis and 4 units above it.

Step2: Analyze \(y=-4\)

The equation \(y = - 4\) represents a horizontal line where for all values of \(x\), \(y=-4\). It is parallel to the \(x\) - axis and 4 units below it.

Step3: Analyze \(x = 4\)

The equation \(x = 4\) represents a vertical line where for all values of \(y\), \(x = 4\). It is parallel to the \(y\) - axis and 4 units to the right of it.

Step4: Analyze \(x=-4\)

The equation \(x=-4\) represents a vertical line where for all values of \(y\), \(x=-4\). It is parallel to the \(y\) - axis and 4 units to the left of it.

Answer:

• \(y = 4\): The horizontal line 4 units above the \(x\) - axis.
• \(y=-4\): The horizontal line 4 units below the \(x\) - axis.
• \(x = 4\): The vertical line 4 units to the right of the \(y\) - axis.
• \(x=-4\): The vertical line 4 units to the left of the \(y\) - axis.