Answer:
17 Units
Step-by-step explanation:
This can easily be done by using Pythagorean's Theorem. First realize that going from point (unless in the same x or y value) creates a triangle. When talking about distance we usually do absolute value of the number (essentially -8 becoming 8).
Now that you know that, you want to set this up as the equation for two LEGS. Your hypotenuse will be the distance of the point to the origin. Use this as a reference always: [tex]a^{2} +b^{2} =c^{2}[/tex]. Now substitute in the rise and run values (no slope) which would be you doing down 8 units and running 15 units, therefore your legs would be 8 units long and 15 units high. The equation will now look like: [tex]8^{2} +15^{2} =c^{2}[/tex]. Now simplify so that you get 64+225=[tex]c^{2}[/tex]. Now add, 289=[tex]c^{2}[/tex]. Now you want to isolate c so that it isn't squared. Do the square root of both values which will leave you with 17=c
