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What is the distance between the two points at(-3,8) and(-3,-7)

2 Answers

8 votes
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User Cklin
by
7.4k points
10 votes

Answer:


\boxed {\boxed {\sf 15}}

Explanation:

Distance is calculated using this formula:


d=\sqrt {(x_2-x_2)^2+(y_2-y_1)^2

where (x₁, y₁) and (x₂, y₂) are the points. We are given (-3,8) and (-3,7). Therefore;


x_1= -3 \\y_1= 8 \\x_2= -3 \\y_2= -7

Substitute the values into the formula.


d= \sqrt {(-3--3)^2+(-7-8)^2

Solve inside the parentheses.

  • -3 - - 3= -3+3= 0
  • -7 - 8 = -15


d= \sqrt {(0)^2+(-15)^2

Solve the exponents.

  • 0²=0*0= 0
  • -15²= -15*-15=225


d=\sqrt {0+225


d=\sqrt {225
d= \pm 15

A negative number for distance doesn't make sense, so the distance must be 15.

User McLawrence
by
6.8k points