Question

a line segment has end points at (-3, -5) and (4, 1). what is its length?
a. 9 units
b. 6.9 units
c 9.2 units
d. 5 units

Explanation:

Step1: Identify the coordinates

Let \((x_1,y_1)=(-3,-5)\) and \((x_2,y_2)=(4,1)\)

Step2: Use the distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)

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

Step3: Simplify the expressions inside the square root

\(4-(-3)=4 + 3=7\) and \(1-(-5)=1 + 5=6\)
So \(d=\sqrt{7^2+6^2}=\sqrt{49 + 36}=\sqrt{85}\approx9.2\)

Answer:

C. 9.2 units