What is the distance between (–2, 3) and (–2, –7)?

1 Answer
May 16, 2016

distance=10

Explanation:

Start by labelling each coordinate.

(x_1,y_1)=(color(red)(-2),color(blue)3)
(x_2,y_2)=(color(darkorange)(-2),color(purple)(-7))

Using the distance formula,

d=sqrt((x_2-x_1)^2+(y_2-y_1)^2 )

substitute the variables into the formula to find the distance between the two coordinates.

Thus,

d=sqrt((color(darkorange)(-2)-(color(red)(-2)))^2+(color(purple)(-7)-color(blue)3)^2 )

d=sqrt((-2+2)^2+(-10)^2)

d=sqrt(0+100)

d=color(green)(|bar(ul(color(white)(a/a)color(black)(10)color(white)(a/a)|)))