Answer:
distance = 11.1803 units
midpoint : (-1.5, 6).
Explanation:
To plot the points A(4, 5) and B(-7, 7) on the grid, we locate the points at the coordinates (4, 5) and (-7, 7) respectively.
The distance between two points (x1, y1) and (x2, y2) can be calculated using the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values for A and B, we get:
d = √((-7 - 4)^2 + (7 - 5)^2)
d = √(11^2 + 2^2)
d = √(121 + 4)
d = √125
d = 11.1803 (rounded to hundredths place)
The midpoint of two points (x1, y1) and (x2, y2) can be calculated as follows:
x = (x1 + x2) / 2
y = (y1 + y2) / 2
The midpoint of A and B is:
x = (4 - 7) / 2 = -1.5
y = (5 + 7) / 2 = 6
So the midpoint of A and B is approximately (-1.5, 6).