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Stage 5.1-3

3.03 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=(x2x1)2(y2y1)2

A

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$d=(x2x1)2+(y2y1)2

B

$d=\sqrt{\left(x_2+x_1\right)^2+\left(y_2+y_1\right)^2}$d=(x2+x1)2+(y2+y1)2

C

$d=\sqrt{\left(x_2+x_1\right)^2-\left(y_2+y_1\right)^2}$d=(x2+x1)2(y2+y1)2

D
Easy
< 1min

Determine whether each of the following statements are true or false:

Easy
2min

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.

Easy
< 1min

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.

Easy
< 1min
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Outcomes

MA5.3-8NA

uses formulas to find midpoint, gradient and distance on the Cartesian plane, and applies standard forms of the equation of a straight line

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