Question

Points N (-7,5) and P(4,-3) are graphed on the coordinate plane as shown.

Which of the following best approximates the distance from point N to point P?

Answer 1

Hey! The answer is c. 13.6. You have to use the Pythagorean theorem and the number of blocks in between -7 and 4 (x) is 11 and the amount of blocks between 5 and -3 on the y line is 8 so those are our two legs a^2 and b^2. So now we can do our a^2+b^2=c^2. 8^2+11^2=c^2. 8^2 is 64 and 11^2 is 121. 64+121=c^2. 64+121=185 the square root of 185 is 13.6. Hope this helps!