Question

3 point $a(-4,-1)$ and point $b(5,3)$ are located on a coordinate grid.
which measurement is closest to the distance between point $a$ and point $b$ in units?
a 8.1 units
b 3.6 units
c 9.8 units
d 2.2 units

Explanation:

Step1: Recall distance formula

The distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step2: Substitute point coordinates

Let $(x_1,y_1)=(-4,-1)$ and $(x_2,y_2)=(5,3)$.
$d=\sqrt{(5-(-4))^2+(3-(-1))^2}=\sqrt{(9)^2+(4)^2}$

Step3: Calculate squared terms

$\sqrt{81+16}=\sqrt{97}$

Step4: Compute square root

$\sqrt{97}\approx9.849$

Answer:

C 9.8 units