How do you find the distance between (-2,-3) and (-2,4)?

1 Answer
smendyka
Feb 5, 2017

See the entire solution process below:

Explanation:

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)d=√(x2−x1)2+(y2−y1)2

Substituting the values from the problem gives:

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

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

d = sqrt(0^2 + 7^2)d=√02+72

d = sqrt(0 + 49)d=√0+49

d = sqrt(49) = 7d=√49=7

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