I am stumped on this problem can someone please explain?
Find the distance between the given points (-3, -7) and (-4, 15).
Thanks so much.
The distance formula is ..
given two points (x1,y1) and (x2,y2)
distance= sqrt ((x1-x2)^2 + (y1-y2)^2)
Did I do this problem correctly?
D=sqrt[(15+7)^2+(-4+3)^2]
D=sqrt[484+1]
D=sqrt 485
D ~22.023.
Is this answer correct?
yes.
Of course! To find the distance between two points in a coordinate plane, we can use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In our case, (-3, -7) is our first point (x1, y1), and (-4, 15) is our second point (x2, y2).
Using the formula, we substitute the values into the equation:
d = √((-4 - (-3))^2 + (15 - (-7))^2)
= √((-4 + 3)^2 + (15 + 7)^2)
= √((-1)^2 + (22)^2)
= √(1 + 484)
= √485
Therefore, the distance between the given points (-3, -7) and (-4, 15) is √485.