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: Determine coordinates

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

Step2: Calculate distance between \(L\) and \(M\)

Use the distance formula \(d=\vert x_2 - x_1\vert\). For \(L\) and \(M\), \(d_{LM}=\vert-2-(-7)\vert=\vert-2 + 7\vert = 5\).

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

For \(L\) and \(N\), \(d_{LN}=\vert2-(-7)\vert=\vert2 + 7\vert=9\).

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

For \(M\) and \(N\), \(d_{MN}=\vert2-(-2)\vert=\vert2 + 2\vert = 4\).

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

For \(M\) and \(P\), \(d_{MP}=\vert5-(-2)\vert=\vert5 + 2\vert=7\).

Answer:

the distance between points \(M\) and \(P\)