Question

Use the distance formula to determine the distance between (-8,10) and (-6,7)

Answer 1

Answer:

Distance: $\sqrt{13}$ units

Step-by-step explanation:

The distance formula is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ where:

• $d$ is the distance between points $(x_1,y_1)$ and $(x_2,y_2)$
• $(x_1,y_1)$ are the coordinates of the first point
• $(x_2,y_2)$ are the coordinates of the second point

We are given that:

• $(x_1,y_1)=(-8,10)$
• $(x_2,y_2)=(-6,7)$

To determine the value of our distance, $d$, we plug in our given information into the formula and solve for

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$d=\sqrt{(-6-(-8))^2+(7-10)^2}$

$d=\sqrt{(-6+8)^2+(-3)^2}$

$d=\sqrt{(2)^2+(-3)^2}$

$d=\sqrt{4+9}$

$d=\sqrt{13}$

Therefore, the distance between $(-8,10)$ and $(-6,7)$ is $\sqrt{13}$ units.

See the attached graph for a visual.