Question

Find the distance (-8,-1) and (-7,-10) step by step

Answer 1

Answer:

Step-by-step explanation:

We can use the Pythagorean Theorem to find the length of the line.

$a^2+b^2=c^2$, where a is the sum of the x-coordinates, b is the sum of the y-coordinates, and c is the length of the line.

$a=|-7-(-8)|\\a=1\\\\b=|-10-(-1)|\\b=|-9|\\b=9$

$c^2=a^2+b^2\\c=\sqrt{a^2+b^2} \\c=\sqrt{1^2+9^2} \\c=\sqrt{1+81}\\c=\sqrt{82}$