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What is the approximate distance between the points (-3, -4) and (-8, 1) on a coordinate grid

asked
User Nebs
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2 Answers

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\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -3 &,& -4~) % (c,d) &&(~ -8 &,& 1~) \end{array}\\\\\\ % distance value d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√([-8-(-3)]^2+[1-(-4)]^2)\implies d=√((-8+3)^2+(1+4)^2) \\\\\\ d=√(25+25)\implies d=√(2\cdot 25)\implies d=√(2\cdot 5^2)\implies d=5√(2)
answered
User Wkampmann
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8.0k points
2 votes
In this question is given to points, with coordinates (-3,-4) and (-8,1). It is asked to find the distance between both points. The only way to find the solution is by using the Distance Formula, which is represented by

d= \sqrt{( x_(2)- x_(1))^(2)+( y_(2)- y_(1))^(2)}.


d= \sqrt{( x_(2)- x_(1))^(2)+( y_(2)- y_(1))^(2)}

d= \sqrt{(-3--8)^(2)+(-4-1)^(2)}

d= \sqrt{(5)^(2)+(-5)^(2)

d= \sqrt{(25)+(25)

d= √(50)

d=7.07 units or
5 √(2)units

The distance between the coordinates (-3,-4) and (-8,1) is 7.07 units or
5 √(2)units.


answered
User Hassan Rahman
by
8.3k points

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