Question

What is the distance between (-6, 8)(−6,8)left parenthesis, minus, 6, comma, 8, right parenthesis and (-3, 9)(−3,9)left parenthesis, minus, 3, comma, 9, right parenthesis?

Answer 1

Answer:

$D=\sqrt{10}\approx 3.16$ units.

Step-by-step explanation:

We are asked to find the distance between $(-6,8)$ and $(-3,9)$.

We will use distance formula to solve our given problem. $D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Let point $(-6,8)=(x_1,y_1)$ and $(-3,9)=(x_2,y_2)$.

$D=\sqrt{(-3-(-6))^2+(9-8)^2}$

$D=\sqrt{(-3+6)^2+(1)^2}$

$D=\sqrt{(3)^2+(1)^2}$

$D=\sqrt{9+1}$

$D=\sqrt{10}$

$D\approx 3.16$

Therefore, the distance between our given points is $D=\sqrt{10}\approx 3.16$ units.

Answer 2

Answer:

D

Step-by-step explanation:

Use slope formula