Answer:
the distance between the 2 points is 6.4 units.
Explanation:
point 1 has the coordinates (-4, -2).
point 2 has the coordinates (1, 2).
the distance between both points is the Hypotenuse of the right- angled triangle of the coordinate difference lines in parallel to x- and y-axis.
so, how long is the difference in x dimension ?
and his long is the difference in y dimension ?
these are the sides of the triangle.
the difference in x dimension :
1 - -4 = 1 + 4 = 5
the difference in y dimension :
2 - -2 = 2 + 2 = 4
P1P2² = 4² + 5² = 16 + 25 = 41
P1P2 = sqrt(41) = 6.4