Question

When graphed on a coordinate plane Beth’s house is located at (4, 3) and the coffee shop is located at the point (–2, –1).
What is the distance from Beth’s house to the coffee shop? Each grid line on the coordinate plane represents 1 mile.
10 miles
mc023-1.jpg miles
mc023-2.jpg miles
52 miles

Answer 1

Distance = sqrt[(4 − (−2))^2 + (3 − (−1))^2]
= sqrt[6^2 + 4^2] = sqrt[36 + 16] = sqrt(52) = 2√13 ≈ 7.21 miles.

So the distance is 2√13 miles (about 7.21 miles).