Question

What is the approximate distance between the points (-3, -4) and (-8, 1) on a coordinate grid? A. 11.40 units B. 7.07 units C. 3.16 units D. 12.08 units

Answer 1

The formula of the distance between two points:


`A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=√((x_B-x_A)^2+(y_B-y_A)^2)`

We have:


`A(-3;-4);\ B(-8;\ 1)`

substitute:


`|AB|=√((-8-(-3))^2+(1-(-4))^2)=√((-8+3)^2+(1+4)^2)\\\\=√((-5)^2+5^2)=√(25+25)=√(25\cdot2)=√(25)\cdot\sqrt2\\\\=\boxed{5\sqrt2\approx7.07}`

Answer: B. 7.07