Question

question 4 of 10
what is the approximate distance between the points (-3, -4) and (-8, 1) on a coordinate grid?
a. 3.16 units
b. 12.08 units
c. 7.07 units
d. 11.40 units

Explanation:

Step1: Identify distance formula

The distance formula 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 values

Let $(x_1,y_1)=(-3,-4)$ and $(x_2,y_2)=(-8,1)$. Then $x_2 - x_1=-8-(-3)= - 5$ and $y_2 - y_1=1-(-4)=5$.

Step3: Calculate squared - differences sum

$(x_2 - x_1)^2+(y_2 - y_1)^2=(-5)^2 + 5^2=25 + 25=50$.

Step4: Calculate distance

$d=\sqrt{50}\approx7.07$.

Answer:

C. 7.07 units