Question

Find the distance between (4, -3) and (-2, 6).

a. 5 units
b. 7 units
c. 10 units
d. 11 units

Answer 1

The distance between the points (4, -3) and (-2, 6) is approximately 10 units (c).

Step-by-step explanation:

To find the distance between two points in a coordinate plane, we can use the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Given the points (4, -3) and (-2, 6), we can plug in the values into the formula:

d = sqrt((-2 - 4)^2 + (6 - (-3))^2)

d = sqrt((-6)^2 + (9)^2)

d = sqrt(36 + 81)

d = sqrt(117)

Since sqrt(117) is approximately 10.81, the distance between the two points is approximately 10 units (c).