Question

Calculate the distance between the points m = (0,7) and g = (-8,3). Give an exact answer (not a decimal approximation)

Answer 1

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

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

In this case, the coordinates of point m are (0, 7) and the coordinates of point g are (-8, 3). Plugging these values into the distance formula, we have:

Distance = sqrt((-8 - 0)^2 + (3 - 7)^2)
= sqrt((-8)^2 + (-4)^2)
= sqrt(64 + 16)
= sqrt(80)

So, the exact distance between the points m = (0, 7) and g = (-8, 3) is sqrt(80).