Question

What is the distance between points R(-1,1) and S(-8,9) on the coordinate plane?

a) 10.2
b) 10.8
c) 11.4
d) 12.0

Answer 1

The distance between points R(-1,1) and S(-8,9) is calculated using the distance formula, yielding an approximate distance of 10.63 units, closest to 10.8 units.

Step-by-step explanation:

The distance between two points on the coordinate plane can be calculated using the distance formula: √((x2 - x1)^2 + (y2 - y1)^2). Let's find the distance between points R(-1,1) and S(-8,9).

1. Subtract the x-coordinates: x2 - x1 = -8 - (-1) = -7.
2. Subtract the y-coordinates: y2 - y1 = 9 - 1 = 8.
3. Square each result: (-7)^2 = 49 and 8^2 = 64.
4. Add the squares: 49 + 64 = 113.
5. Find the square root of the sum: √113 ≈ 10.63.

So, the distance between points R and S is approximately 10.63 units on the coordinate plane, which is closest to 10.8 units.