SOLUTION: Please show work. Consider the two points: A: (2,3) and B: (-1,-4) A. Plot the two points on the x-y coordinate system B. Find the distance between A and B

Algebra ->  Graphs -> SOLUTION: Please show work. Consider the two points: A: (2,3) and B: (-1,-4) A. Plot the two points on the x-y coordinate system B. Find the distance between A and B       Log On


   

Question 1015786: Please show work.
Consider the two points: A: (2,3) and B: (-1,-4)
A. Plot the two points on the x-y coordinate system



B. Find the distance between A and B

C. Find the midpoint between A and B
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
A.
Point A is red, Point B is green
.

.
Point A=(x%5B1%5D,y%5B1%5D)=(2,3)
Point B=(x%5B2%5D,y%5B2%5D)=(-1,-4)
d=distance
.
d=sqrt%28%28x%5B2%5D-x%5B1%5D%29%5E2%2B%28y%5B2%5D-y%5B1%5D%29%5E2%29
.
d=sqrt%28%28-1-2%29%5E2%2B%28-4-3%29%5E2%29
.
d=sqrt%28%28-3%29%5E2%2B%28-7%29%5E2%29
.
d=sqrt%289%2B49%29=sqrt%2858%29
.
ANSWER: Distance between A and B is sqrt%2858%29
.
C).
.
midpoint=(%28x%5B1%5D%2Bx%5B2%5D%29%2F2,%28y%5B1%5D%2By%5B2%5D%29%2F2)
.
midpoint=(%282%2B%28-1%29%29%2F2,%283%2B%28-4%29%29%2F2)
.
midpoint=(1%2F2,-%281%2F2%29)