Question

if each unit on the grid represents 1 kilometer, the distance rhea traveled from point l to point m to point k is km. round to the nearest kilometer, if necessary. l(-1,6) m(-4,2) k(2,2)

Explanation:

Step1: Calculate distance between L and M

Use distance formula $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. For points $L(-1,6)$ and $M(-4,2)$, $x_1=-1,y_1 = 6,x_2=-4,y_2 = 2$. Then $d_{LM}=\sqrt{(-4+1)^2+(2 - 6)^2}=\sqrt{(-3)^2+(-4)^2}=\sqrt{9 + 16}=\sqrt{25}=5$.

Step2: Calculate distance between M and K

For points $M(-4,2)$ and $K(2,2)$, since $y$-coordinates are the same, distance $d_{MK}=\vert-4 - 2\vert=6$.

Step3: Calculate total distance

Total distance $d=d_{LM}+d_{MK}=5 + 6=11$.

Answer:

11