Calculate the distance between the points m = (-4,-1) and g = (4,-7). Give an exact answer (not a decimal approximation)

Answer 1

To calculate the distance between two points, we can use the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of the points are:

m = (-4, -1)
g = (4, -7)

Substituting these values into the formula, we get:

d = sqrt((4 - (-4))^2 + (-7 - (-1))^2)
= sqrt((8)^2 + (-6)^2)
= sqrt(64 + 36)
= sqrt(100)
= 10

Therefore, the distance between the points m and g is 10 units.