Question

1. Read and answer the following question: 1 point Two points. ( -2 4 ) and ( 2 4) are plotted on a coordinate grid Which expression below can you use to find the distance between the two points? |-2| - |2||4| - |4||-2| + |2||4| + |4|

Answer 1

The given points are (-2,4) and (2,4).

To find the distance between these points, we use the distance formula.

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

Where,

`\begin{gathered} x_1=-2 \\ x_2=2 \\ y_1=4 \\ y_2=4 \end{gathered}`

Replacing these coordinates, we have

`\begin{gathered} d=\sqrt[]{(2-(-2))^2+(4-4)^2} \\ d=\sqrt[]{(2+2)^2+(0)^2}=\sqrt[]{(4)^2+0}=\sqrt[]{16} \\ d=4 \end{gathered}`

Therefore, the distance between the given points is 4 units. Therefore, the expression equivalent to 4 units is |-2|+|2|.

So, the right answer is the third choice.