A graph shows four quadrants with the x-axis and y-axis both ranging from negative 5 to positive 5 in increments of 1. Unlabeled data points marked are at (-2,-1), and at (2, 4). A straight line joins the two lines with a positive slope.
Apply the pythagorean theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary.
To find the length between the two points, we can use the Pythagorean theorem formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Where (x1, y1) = (-2, -1) and (x2, y2) = (2, 4).
Plugging in the values:
d = √((2 - (-2))^2 + (4 - (-1))^2)
d = √((2 + 2)^2 + (4 + 1)^2)
d = √(4^2 + 5^2)
d = √(16 + 25)
d = √41
Therefore, the length between the two points is approximately 6.40 units.