What is the distance from Point A (2,-3) to Point B (2, 4)?

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Answer 1 · 2017-11-30T18:34:10

See a solution process below:

The formula for calculating the distance between two points is:

#d = sqrt((color(red)(x_2) - color(blue)(x_1))^2 + (color(red)(y_2) - color(blue)(y_1))^2)#

Substituting the values from the points in the problem gives:

#d = sqrt((color(red)(2) - color(blue)(2))^2 + (color(red)(4) - color(blue)(-3))^2)#

#d = sqrt((color(red)(2) - color(blue)(2))^2 + (color(red)(4) + color(blue)(3))^2)#

#d = sqrt(0^2 + 7^2)#

#d = sqrt(7^2)#

#d = 7#

Because both of the points have the same #x# value we can use this formula to find the distance between the two points:

#d =abs(color(red)(y_2) - color(blue)(y_1))#

#d =abs(color(red)(4) - color(blue)(-3))#

#d =abs(color(red)(4) + color(blue)(3))#

#d =abs(7)#

#d = 7#

We can also show this on the graph below. Because this is a vertical line there are 7 units between the two points.

enter image source here