Graph the points R(4,-2) and S(-4,3). What is the distance from Point R to point S?

1 answer

We can use the distance formula to find the distance between two points in a coordinate plane. The distance formula is given by:

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

where (x1, y1) and (x2, y2) are the coordinates of the two points.

In this case, (x1, y1) = (4, -2) and (x2, y2) = (-4, 3). Plugging these values into the distance formula, we get:

d = sqrt((-4 - 4)^2 + (3 - (-2))^2)
= sqrt((-8)^2 + (5)^2)
= sqrt(64 + 25)
= sqrt(89)

So the distance from Point R to Point S is sqrt(89).