Find the distance between (–3, –2) and (1, 4).
(1, 4) - (–3, –2) = (1- -3, 4 - -2) =
(1+3, 4+2) = (4,6)
|(4,6)| = sqrt[4^2 + 6^2] = sqrt[52] = 2 sqrt[13]
To find the distance between two points, you can use the distance formula. The formula is:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
In this case, the coordinates of the first point are (-3, -2) and the coordinates of the second point are (1, 4). You can plug these values into the distance formula to calculate the distance between the two points.
d = √[(1 - (-3))^2 + (4 - (-2))^2]
= √[(1 + 3)^2 + (4 + 2)^2]
= √[4^2 + 6^2]
= √[16 + 36]
= √52
= 2√13
So, the distance between the points (-3, -2) and (1, 4) is 2√13.