Question

a line passes through the two given points. is it vertical, horizontal, or neither? (5, 2), (7, 2) vertical horizontal neither

Explanation:

Step1: Recall the properties of vertical and horizontal lines

A vertical line has the same \(x -\)coordinate for all points on the line (\(x = k\), where \(k\) is a constant). A horizontal line has the same \(y -\)coordinate for all points on the line (\(y=k\), where \(k\) is a constant).

Step2: Analyze the given points \((5,2)\) and \((7,2)\)

For the points \((x_1,y_1)=(5,2)\) and \((x_2,y_2)=(7,2)\), the \(y -\)coordinates are the same (\(y = 2\)) while the \(x -\)coordinates are different (\(x_1=5\) and \(x_2 = 7\)).

Answer:

Horizontal