Lulu marks the points (9,2) and (3,6) on the coordinate plane. What is the distance between these two points, rounded to the nearest tenth of a unit?
7.8 units
6.0 units
7.2 units
10.0 units
To find the distance between two points on a coordinate plane, we can use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
For the points (9,2) and (3,6), we have:
x1 = 9, y1 = 2
x2 = 3, y2 = 6
Substituting these values into the distance formula, we get:
d = sqrt((3 - 9)^2 + (6 - 2)^2)
d = sqrt((-6)^2 + (4)^2)
d = sqrt(36 + 16)
d = sqrt(52)
d ≈ 7.2
Therefore, the distance between these two points is approximately 7.2 units, rounded to the nearest tenth. So the correct answer is 7.2 units.