A graph shows quadrant 1 with the x-axis and y-axis ranging from 0 to positive 9. Data points marked are at (3, 2), and (7, 8). A straight line joins the two points forming a positive slope.

Question

Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth.

Answer 1

To find the length between the two points (3, 2) and (7, 8), we can use the Pythagorean Theorem.

The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Using the coordinates (3, 2) and (7, 8):
x1 = 3, y1 = 2
x2 = 7, y2 = 8

Substitute the values into the formula:
d = sqrt((7 - 3)^2 + (8 - 2)^2)
d = sqrt((4)^2 + (6)^2)
d = sqrt(16 + 36)
d = sqrt(52)
d ≈ 7.21

Therefore, the distance between the two points is approximately 7.21.