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

1 Answer
Johnson Z.
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)|)))#

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