Question

10. The coordinate plane below shows points A, B, C and D. C c' 3 2 1 1 2 15 2 3 What is the distance, in units, from point B to point ?

Answer 1

In order to determine the distance between points B and C, use the following formula for the distance between points with coordinates (x1,y1) and (x2,y2):

$d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}$

In this case, you have:

point B: (x1,y1) = (-2,-1)

poin C: (x2,y2) = (-2,4)

replace the previous values of the parameters into the formula for d:

$\begin{gathered} d=\sqrt[]{(4-(-1))^2+(-2-(-2))^2} \\ d=\sqrt[]{(4+1)^2+(-2+2)^2} \\ d=\sqrt[]{5^2+0^2}=\sqrt[]{25}=5 \end{gathered}$

Hence, the distance between points B and C is 5 units