Question

6 plot a new point, l, at (6, 0). which distance is longer, from point m to point l or from point p to point l? circle one correct answer. point m to point l point p to point l the distances are the same. not enough information to determine

Explanation:

Step1: Assume coordinates of \(M\) and \(P\)

Assume \(M=(0,0)\) and \(P=(3,0)\) (since no specific coordinates for \(M\) and \(P\) are given, but common in such problems if not stated otherwise, assume \(M\) at origin and \(P\) at \((3,0)\) as \(L=(6,0)\) is given).

Step2: Calculate distance \(ML\)

Using the distance formula \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\), for \(M=(0,0)\) and \(L=(6,0)\), \(d_{ML}=\sqrt{(6 - 0)^2+(0 - 0)^2}=\sqrt{36}=6\)

Step3: Calculate distance \(PL\)

For \(P=(3,0)\) and \(L=(6,0)\), \(d_{PL}=\sqrt{(6 - 3)^2+(0 - 0)^2}=\sqrt{9}=3\)

Answer:

point \(M\) to point \(L\)