Question

question 2 of 10
what is the approximate distance between the points (-3, -4)
and (-8, 1) on a coordinate grid?

a. 11.40 units

b. 3.16 units

c. 12.08 units

d. 7.07 units

Explanation:

Step1: Recall 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: Identify coordinates

Here, \(x_1=-3,y_1 = - 4,x_2=-8,y_2 = 1\).

Step3: Substitute into formula

Substitute the values: \(d=\sqrt{(-8 - (-3))^2+(1 - (-4))^2}=\sqrt{(-5)^2+(5)^2}\).

Step4: Simplify

Simplify the expression: \(\sqrt{25 + 25}=\sqrt{50}\approx7.07\).

Answer:

D. 7.07 units