Question

Point R(3,7) and point S(−1,−4) are located within the coordinate plane.

What is the distance between the two points?

137−−−√
194−−−√
13−−√
137

Answer 1

The answer to your question is
`√(137)`

Explanation:

Data

R (3, 7)

S (-1, -4)

Formula

distance =
`\sqrt{(x2 - x1)^(2)+ (y2 - y1)^(2)}`

Substitution

distance =
`\sqrt{(-1 - 3)^(2) + (-4 - 7)^(2)}`

Simplification

distance =
`\sqrt{(-4)^(2) + (-11)^(2)}`

distance =
`√(16 + 121)`

distance =
`√(137)`