5.03 The distance between two points
Interactive practice questions
Which of the following is the formula for finding the distance between two points $\left(x_1,y_1\right)$(x1,y1)and $\left(x_2,y_2\right)$(x2,y2)?
$d=\sqrt{\left(x_2-x_1\right)^2-\left(y_2-y_1\right)^2}$d=√(x2−x1)2−(y2−y1)2
$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$d=√(x2−x1)2+(y2−y1)2
$d=\sqrt{\left(x_2+x_1\right)^2+\left(y_2+y_1\right)^2}$d=√(x2+x1)2+(y2+y1)2
$d=\sqrt{\left(x_2+x_1\right)^2-\left(y_2+y_1\right)^2}$d=√(x2+x1)2−(y2+y1)2
Determine whether each of the following statements are true or false:
The vertical interval joining $A$A$\left(2,5\right)$(2,5) and $B$B$\left(2,8\right)$(2,8) is shown on the coordinate plane below.
Find the length of the interval.
The vertical interval joining $A$A $\left(4,-5\right)$(4,−5) and $B$B $\left(4,5\right)$(4,5) has been graphed on the number plane. Find the length of the interval.