Question

The distance between A(8, y) and B(2, −5) is 10 units. Find the possible coordinates for point A.

Answer 1

3 or -13

Step-by-step explanation:

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Answer 2

Answer:

y = 3 and -13

Step-by-step explanation:

I HAVE UPLOADED AN IMAGE OF THE DISTANCE FORMULA AS WRITING IT WILL BECOME TOO COMPLEX TO UNDERSTAND.

d = 10 units

x1 = 8

x2 = 2

y1 = y

y2 = -5

Putting all of this in the distance formula,

=> 10 = √[(2 - 8)² + (-5 - y)²]

=> 10 = √[(-6)² + (-5 - y)²]             (Plus and minus combine to become minus)

=> 10 = √[(36) + (-5 - y)²]

=> 100 = 36 + (-5 - y)²         (Squaring both sides)

=> 100 - 36 = (-5 - y)²           (Signs change while switching sides in an equation)

=> 64 = (-5 - y)²

=> ±8 = -5 - y             (Sqaure-rooting both sides)

=> 8 = -5 - y               AND               -8 = -5 - y

∴ y = 3 and -13