Question

which distance measures 7 units? the distance between points l and m the distance between points l and n the distance between points m and n the distance between points m and p

Explanation:

Step1: Recall distance formula on number - line

The distance between two points \(a\) and \(b\) on a number - line is \(d=\vert a - b\vert\).

Step2: Identify coordinates of points

Let's assume \(L=-7\), \(M = - 2\), \(N=1\), \(P = 5\).

Step3: Calculate distance between \(L\) and \(M\)

\(d_{LM}=\vert-7-(-2)\vert=\vert-7 + 2\vert=\vert-5\vert = 5\).

Step4: Calculate distance between \(L\) and \(N\)

\(d_{LN}=\vert-7 - 1\vert=\vert-8\vert=8\).

Step5: Calculate distance between \(M\) and \(N\)

\(d_{MN}=\vert-2 - 1\vert=\vert-3\vert = 3\).

Step6: Calculate distance between \(M\) and \(P\)

\(d_{MP}=\vert-2-5\vert=\vert-7\vert = 7\).

Answer:

the distance between points M and P