Question

What is the distance between the points (2, -1) and (-1, -5) on the coordinate plane?

a) 7 units
b) 4 units
c) 6 units
d) 5 units

Answer 1

The distance between the points (2, -1) and (-1, -5) on the coordinate plane is 5 units.

Step-by-step explanation:

To find the distance between two points in a coordinate plane, we can use the distance formula. The distance formula is given by:

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

Let's use this formula to find the distance between the points (2, -1) and (-1, -5).

d = sqrt((-1 - 2)^2 + (-5 - (-1))^2)

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

d = sqrt(9 + 16)

d = sqrt(25)

d = 5

Therefore, the distance between the points (2, -1) and (-1, -5) is 5 units.