Question

what is the distance between the two points shown on the graph? 10 4 16

Explanation:

Step1: Identify the coordinates

The two points are \(A(0, - 6)\) and \(B(0,10)\). Since the \(x -\)coordinates are the same (\(x_1=x_2 = 0\)), we use the distance formula for points with the same \(x -\)coordinate \(d=\vert y_2 - y_1\vert\).

Step2: Calculate the distance

Substitute \(y_1=-6\) and \(y_2 = 10\) into the formula \(d=\vert10-(-6)\vert=\vert10 + 6\vert=\vert16\vert = 16\).

Answer:

16