The distance between two points is the number of units between them
The expression that represents the distance between the points is x - 4
How to determine the expression
The points are given as: (4,8) and (x,8)
The distance (d) between points is calculated using:
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]d = \sqrt{(x - 4)^2 + (8 -8)^2}[/tex]
Evaluate the difference
[tex]d = \sqrt{(x - 4)^2 + 0^2}[/tex]
Evaluate the exponent
[tex]d = \sqrt{(x - 4)^2 + 0}[/tex]
Evaluate the sum
[tex]d = \sqrt{(x - 4)^2}[/tex]
Evaluate the exponent
[tex]d = x - 4[/tex]
Hence, the expression that represents the distance between the points is x - 4
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