Question

Two points (-2,4) and (2,4) and plotted on a coordinate grid. Which expression below can you use to find the distance between two points? |-2| - |2| |4| - |4| |-2| + |2| |4| + |4|

Answer 1

Answer:

First, let's address the general case.

When we have two points (a,b) and (c,d)

The distance between those points can be written as:

D = √( (a - c)^2 + (b - d)^2)

In this case, the points are:

(-2,4) and (2,4)

Then the distance is:

D = √( (-2 - 2)^2 + (4 - 4)^2) = √(-4)^2 = 4.

The equivalent expression to this is: |-2| + |2|

because:

I-2I = 2

I2I = 2

I-2I + I2I = 2 + 2 = 4.