SOLUTION: The length of the line segment whose endpoints are (3,-2)and ( -4,5) is b square root 2 . What is the value of b

Question 330311: The length of the line segment whose endpoints are (3,-2)and ( -4,5) is b square root 2 . What is the value of b
Found 2 solutions by nyc_function, jim_thompson5910:
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
Use the distance formula for points.
b(sqrt[2]) = sqrt[(3 + 4)^2 + (-2 - 5)^2]
b(sqrt[2]) = sqrt[49 + 49]
b(sqrt[2]) = sqrt[98]
To find b, divide both sides by sqrt[2].
b = sqrt[98]/sqrt[2]
b = 7
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Note: is the first point . So this means that and .
Also, is the second point . So this means that and .

Start with the distance formula.

Plug in , , , and .

Subtract from to get .

Subtract from to get .

Square to get .

Square to get .

Add to to get .

Simplify the square root.

So our answer is

Since and , this means that

So
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