Question

What is the distance between ( 7, -1) and ( 7, -5) and why?

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Answer 1

4 units

Explanation:

the distance between two points is given by,

`D = \sqrt{{(x_(1)-x_(2))}^(2) + {(y_(1)-y_(2))}^(2) } \\x_(1)=7; x_(2)=7; y_(1)=-1; y_(2)=-5\\D=\sqrt{{([7]-[7])}^(2) + {([-1]-[-5])}^(2) }\\D=\sqrt{{(0)}^(2) + {(4)}^(2) }\\D=√(0 + 16 )\\D=√(16)\\D=4`

Answer 2

The distance is 4

Explanation:

Given:

x1 = 7

x2 = 7

y1 = -1

y2 = -5

`d=√((x2-x1)^2+(y2-y1)^2) \\\\d=√((7-7)^2+(-5+1)^2)\\\\d=√((0)^2+(-4)^2) \\\\d=√(0+16) \\\\d=√(16) \\d=4`