SOLUTION: Find the distance between the points (-6, 2) and (4, -1). Simplify your answer.

Question 620877: Find the distance between the points (-6, 2) and (4, -1). Simplify your answer.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Use the distance formula

d = sqrt((x2-x1)^2+(y2-y1)^2)

Remember that the two generic points are (x1, y1) and (x2, y2)
So (x1, y1) = (-6, 2), which means x1=-6 and y1= 2
and (x2, y2) = (4, -1), which means x2=4 and y2= -1

So in short, x1=-6, y1= 2, x2=4, and y2= -1.

-------------------

d = sqrt((x2-x1)^2+(y2-y1)^2)

d = sqrt((4-(-6))^2+( -1- 2)^2)

d = sqrt((4+6)^2+( -1- 2)^2)

d = sqrt((10)^2+(-3)^2)

d = sqrt(100+9)

d = sqrt(109)

So exact distance between the two points is sqrt(109) units.

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