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.
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.
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