Question

What is the distance between (-5, -5)(−5,−5)left parenthesis, minus, 5, comma, minus, 5, right parenthesis and (-9, -2)(−9,−2)left parenthesis, minus, 9, comma, minus, 2, right parenthesis?

Answer 1

`5 \:Units`

Explanation:

Given points (-5,-5) and (-9,-2), the distance between the two lines is determined using the Distance Formula.

`Distance=√((x_2-x_1)^2+(y_2-y_1)^2)`

`\lim_(n \to \infty) a_n where (x_1,y_1)=(-5,-5), (x_2,y_2)=(-9,-2)\\Distance=√((x_2-x_1)^2+(y_2-y_1)^2)\\=√((-9-(-5))^2+(-2-(-5))^2)\\=√((-9+5)^2+(-2+5)^2)\\=√((-4)^2+(3)^2)\\=√(16+9)\\=√(25)=5 \:Units`

The distance between the points (-5,-5) and (-9,-2) is 5 Units.