To find the distance between two coordinates on a graph, use the Distance Formula: D = √((x₁ - x₂)² + (y₁ - y₂)²).
Our values for x₁, x₂, y₁, and y₂ will be replaced with the x- and y-values in the given coordinates, (5, 6) and (-4, -7).
Substitute.
√((x₁ - x₂)² + (y₁ - y₂)²)
√((-4 - 5)² + (-7 - 6)²)
Subtract.
√(-9² + (-13)²)
Square.
√(81 + 169)
Add.
√(250)
Simplify.
√(5² · 5 · 2)
√(5²)√(2 · 5)
5√(10) or approx 15.8114
Answer:
B. 15.81 units
