Question

Find the distance between the points: (–6, 7) and (–1, –5). In your final answer, include the formula and calculations that you used to find the distance.

Answer 1

You need to use the distance formula $\sqrt{(x2-x1)^2} +(y2-y1)^2$

Then you'll use the slope intercept distance formula and substitute (-6,7) (-1,-5)

When you do you'll solve the problem and get an answer of a distance between the two points of 13.

Answer 2

Answer: The distance between the points (-6,7) and (-1,-5) is 13 units.

Solution:

P1=(-6,7)=(x1,y1)→x1=-6, y1=7

P2=(-1,-5)=(x2,y2)→x2=-1,y2=-5

Distance between points P1 and P2: d=?

d=sqrt [ (x2-x1)^2 + (y2-y1)^2 ]

Replacing the knwon values:

d=sqrt [ (-1-(-6))^2 + (-5-7)^2 ]

d=sqrt [ (-1+6)^2 + (-12)^2 ]

d=sqrt [ (5)^2 + 144 ]

d=sqrt [ 25 + 144 ]

d=sqrt [ 169 ]

d=13