Imagine a right triangle being made from this line, with segment AB as the hypotenuse. The missing point of the triangle would be on (-4,-5) Lets name the point C
Okay, so since we have a right triangle, we can solve for the length of AB using the pythagorean theorem.
a²+b²=c² where a and b are side lengths and c is the hypotenuse
The distance from A to C is 5units The distance from B to C is 3 units
Plug in the data that we know
5²+3²=c² 25+9=c² 34=c² √34=c 5.830=c round to the nearest hundredth 5.83=c