# What is the distance between the points (-6,7) and (-1,1)?Round to the nearest whole unit.

Mar 13, 2018

The distance is $8$

#### Explanation:

The easiest way is to use the distance formula, which is kinda tricky:
d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2

That looks really complex, but if you take it slowly, I'll try and help you through it.

So let's call $\left(- 6 , 7\right)$ Point 1. Since points are given in the form $\left(x , y\right)$ we can deduct that

$- 6 = {x}_{1}$ and $7 = {y}_{1}$

Let's call $\left(- 1 , 1\right)$ Point 2. So:

$- 1 = {x}_{2}$ and $1 = {y}_{2}$

Let's plug these numbers into the distance formula:
d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2
d = sqrt((-1 - -6)^2 + (1 - 7)^2
d = sqrt((5)^2 + (-6)^2
d = sqrt(25 + 36
$d = \sqrt{61}$
$d \approx 7.8$ rounded to the nearest whole unit is $8$

This is quite the hard subject, and is best taught by someone who knows how to explain well! This is a really good video about the distance formula:
Khan Academy distance formula video