Calculate the distance between the points m = (-2,6) and g = (1,-1). Give an exact answer (not a decimal approximation)
To find the distance between two points, we can use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2),
where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, the coordinates of point m are (-2, 6) and the coordinates of point g are (1, -1).
So, plugging the values into the distance formula, we have:
d = sqrt((1 - (-2))^2 + (-1 - 6)^2)
= sqrt((3)^2 + (-7)^2)
= sqrt(9 + 49)
= sqrt(58).
Therefore, the exact distance between the points m = (-2, 6) and g = (1, -1) is sqrt(58).