Question

calculate the distance between the two points shown on the graph below. give your answer correct to 2 decimal places if necessary.

a(4, 9)
b(5, 1)

Explanation:

Step1: Identify coordinates

Point A: $(4,9)$; Point B: $(5,1)$

Step2: Apply distance formula

$$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$$

Step3: Substitute values

$$d = \sqrt{(5-4)^2 + (1-9)^2} = \sqrt{1 + 64} = \sqrt{65}$$

Step4: Calculate decimal

$$\sqrt{65} \approx 8.06$$

Answer:

8.06