Question

what is the distance between the two points shown on the graph?

Explanation:

Step1: Identify the coordinates

The two points are \(A(13, - 4)\) and \(B(-6,-4)\). Since the \(y -\)coordinates are the same (\(y=-4\) for both points), we use the distance formula for points with the same \(y -\)value: \(d=\vert x_2 - x_1\vert\). Here, \(x_1 = 13\), \(x_2=-6\).

Step2: Calculate the distance

Substitute the \(x -\)values into the formula: \(d=\vert13-(-6)\vert=\vert13 + 6\vert=\vert19\vert = 19\).

Answer:

19