Question

URGENT NEED HELP. What is the approximate length of AB?

Answer 1

Answer: 8.5 maybe

Step-by-step explanation: I'm not sure

Answer 2

Answer:

Approximate length of AB is 9.2 units.

Step-by-step explanation:

You can use Pythagorean Theorem (check out the picture below) or directly use the distance formula.

Pythagorean Theorem
$\text{hypotenuse}^2 = \text{leg}_1^2 + \text{leg}_2^2$

Hypotenuse is AB and you can read the length of the legs from the graph.

$\text{AB}^2 = 6^2 + 7^2\\\text{AB}^2 = 85\\\text{AB} = \sqrt{85} \approx 9.2195\\\text{AB} \approx 9.2$

---

Another way to do it is to use the distance formula.

The Distance Formula
$\text{The distance between two points } (x_1, y_1) \text{ and } (x_2, y_2) \text{ is given by the formula:}\\d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

You can read the points from the graph:

A(-2,-3)

B(4,4)

$d = \sqrt{(-2-4)^2 + (-3-4)^2}\\d = \sqrt{36 + 49}\\d = \sqrt{85} \approx 9.2$

You can see that both ways give the same answer. Use whatever you prefer.