If the endpoints of KB are K(-4,5) and B(2,-5) , what is the length of KB?

Step 1
Draw the line joining the endpoints K and B.
Step 2
Length KB is the distance between K and B.
Step 3
x1 = -4
y2 = 5
x2 = 2
y2 = -5
Step 3
Write the formula for distance between two points and substitute the values.
[tex]\begin{gathered} KB\text{ = }\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2} \\ KB\text{ = }\sqrt[]{(-5-5)^2+(2-(-4))^2} \\ KB\text{ = }\sqrt[]{(-10)^2+(2+4)^2} \\ KB\text{ = }\sqrt[]{(-10)^2+6^2} \\ KB\text{ = }\sqrt[]{100\text{ + 36}} \\ KB\text{ = }\sqrt[]{136} \\ KB\text{ = 11.66} \end{gathered}[/tex]