Question

Find the distance between the two points (-7, -1), (-2,-4)​

Answer 1

`\huge\boxed{\sf D \approx 5.8 \ units}`

Explanation:

Point 1 = (x1,y1) = (-7,-1)

Point 2 = (x2,y2) = (-2,-4)

So,

x1 = -7

y1 = -1

x2 = -2

y2 = -4

Now,

Distance formula:

`|D|=√((x_2-x_1)^2+(y_2-y_1)^2)`

Put the given data.

`D = √([(-2-(-7)]+[-4-(-1)]) \\\\D = √((-2+7)^2+(-4+1)^2) \\\\D = √(5^2+(-3)^2) \\\\D = √(25+9) \\\\D = √(34) \\\\D \approx 5.8 \ units\\\\\rule[225]{225}{2}`