Which expression could be used to find the distance between point A and point B?
A coordinate plane is shown with point A located at left-parenthesis negative 4 comma 1 right-parenthesis and point B located at left-parenthesis 1 comma 1 right-parenthesis.
$\sqrt{(1-(-4))^2+(1-1)^2}$
To find the distance between point A and point B on a coordinate plane, you can use the distance formula. The distance formula is:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Where (x1, y1) represents the coordinates of point A and (x2, y2) represents the coordinates of point B.
Using the given coordinates, we have:
Point A: (-4, 1)
Point B: (1, 1)
To find the distance, substitute the values into the distance formula:
d = √((1 - (-4))^2 + (1 - 1)^2)
= √((1 + 4)^2 + (0)^2)
= √(5^2 + 0)
= √(25 + 0)
= √25
= 5
Therefore, the distance between point A (-4, 1) and point B (1, 1) is 5 units.