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# on a standard coordinate plane, what is the distance between the two points(8,4) (5,-2)

on a standard coordinate plane, what is the distance between the two points(8,4)  (5,-2)

### 2 Answers by Expert Tutors

Brandy N. | Civil Engineering Degree with English Minor - Tutoring ExperienceCivil Engineering Degree with English Mi...
5.0 5.0 (66 lesson ratings) (66)
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The distance of two points is: d = √[(X- X1)2 + (Y2 - Y1)2]

So, for your problem, X1 = 8, Y1 = 4, X2 = 5, Y2 = -2

Just plug those numbers into the formula:

d = √[(5 - 8)2 + (-2 - 4)2]
d = √[(-3)2 + (-6)2]
d = √[9 + 36]
d = √[45]
d = 3√[5]
OR
d = 6.708
Jason S. | My goal is the success of my students. Knowledge-Patience-HonestyMy goal is the success of my students. K...
4.9 4.9 (115 lesson ratings) (115)
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Use the distance formula

x2 = 8
x1 = 5

y2 = 4
y1 = -2

Sqrt(    (x2 - x1)2 +  (y2 - y1)2    )

Sqrt(        (8 - 5 )2   + (4 - (-2))2      )

Sqrt( 32 + 6)

sqrt (9 + 36)

sqrt(45)

sqrt(9) * sqrt(5)

3 sqrt(5) or 3√5