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