Question

Calculate the distance between the points m = (-8,2) and g = (-2,7). Give an exact answer (not a decimal approximation)

Answer 1

To find the distance between two points in a plane, we can use the distance formula:

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

In this case, the coordinates of m are (-8,2) and the coordinates of g are (-2,7). Plugging these values into the formula, we have:

d = sqrt((-2 - (-8))^2 + (7 - 2)^2)
= sqrt((6)^2 + (5)^2)
= sqrt(36 + 25)
= sqrt(61)

So the distance between the points m = (-8,2) and g = (-2,7) is sqrt(61).