Question

joshua and martina are playing a game where martina is trying to guess the point joshuas boat is on a coordinate plane. joshuas boat is at the point (1, 3), but martina guesses that the boat is at the point (8, 3). what is the distance between martinas guess and the actual location of the boat?

a. 7 units

b. 15 units

c. 4 units

Explanation:

Step1: Identify the formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ in a coordinate - plane is $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $(x_1,y_1)=(1,3)$ and $(x_2,y_2)=(8,3)$.

Step2: Substitute the values

Since $y_1 = y_2=3$, the formula simplifies to $d=\sqrt{(8 - 1)^2+(3 - 3)^2}=\sqrt{(7)^2+0^2}$.

Step3: Calculate the distance

$\sqrt{49+0}=\sqrt{49}=7$.

Answer:

A. 7 units