What is the distance between (-5, -8) and (10, -8)? 5

Question

i need help on this subject it is really hard pls respond as soon as you can i need the answer for this

Answer 1

The distance formula is

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where your two points are (x₁, y₁) & (x₂, y₂), in this case though, we see that both y values are the same so when we subtract them

-8 - (-8) = 0

So for this problem we are really only concerned with the distance between the two x values as this is a horizontal line. We can see that the distance from -5 to the origin is 5 and the distance from the origin to 10 is 10 so the distance is the sum of those two numbers which is 15.

For the sake of using the distance formula though, you would get:

d = √[10 - (-5)]² = √(15)²

the square and the square root cancel leaving you with d = 15

Answer 2

The general answer is to first find the x and y differences, and then use the Pythagorean Theorem to find the net difference.

In this case, the y values are the same, so you just need to take the difference for the x values.

For anything like this plot the points on graph paper so you can see the approximate answer before doing any calculations.