Question

What is the distance between (1, -4) and (1, 18​

Answer 1

Answer: 22 units

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Explanation:

You can use the distance formula

$d = \sqrt{ (x_1-x_2)^2 + (y_1-y_2)^2}\\\\d = \sqrt{ (1-1)^2 + (-4-18)^2}\\\\d = \sqrt{ (0)^2 + (-22)^2}\\\\d = \sqrt{ 22^2}\\\\d = 22$

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A shorter method is to subtract the y coordinates and apply absolute value

So either |-4-18| = |-22| = 22

Or, |18 - (-4)| = |18+4| = |22| = 22

This method only works because the x coordinates are the same. We can also use this method if the y coordinates were the same with the x coordinates being different.