Question

which distance measures 5 units? the distance between points w and x the distance between points x and y the distance between points x and z the distance between points y and z

Explanation:

1. First, identify the coordinates of the points from the number - line:

• Assume \(W=-7\), \(X = - 2\), \(Y = 1\), \(Z = 6\).

1. Then, use the distance formula on a number - line \(d=\vert x_2 - x_1\vert\):

• Distance between \(W\) and \(X\): \(\vert-2-(-7)\vert=\vert-2 + 7\vert=\vert5\vert = 5\).
• Distance between \(X\) and \(Y\): \(\vert1-(-2)\vert=\vert1 + 2\vert=\vert3\vert = 3\).
• Distance between \(X\) and \(Z\): \(\vert6-(-2)\vert=\vert6 + 2\vert=\vert8\vert = 8\).
• Distance between \(Y\) and \(Z\): \(\vert6 - 1\vert=\vert5\vert = 5\).

Answer:

the distance between points W and X, the distance between points Y and Z