Final answer:
The coordinates of the midpoint M are (-5/2, -2), and the distance between the two points A(-4, -8) and B(-1, 4) is sqrt(153).
Step-by-step explanation:
To find the midpoint between two points A(-4, -8) and B(-1, 4), we can use the midpoint formula. The x-coordinate of the midpoint is the average of the x-coordinates of the two points, and the y-coordinate of the midpoint is the average of the y-coordinates of the two points. So, the x-coordinate of M is (-4 + -1)/2 = -5/2, and the y-coordinate of M is (-8 + 4)/2 = -2.
The coordinates of the midpoint M are (-5/2, -2).
To find the distance between the two points A(-4, -8) and B(-1, 4), we can use the distance formula. The distance formula is given by d = sqrt((x2 - x1)^2 + (y2 - y1)^2). Substituting the values, we get d = sqrt((-1 - (-4))^2 + (4 - (-8))^2) = sqrt(3^2 + 12^2) = sqrt(9 + 144) = sqrt(153).
The distance between the two points A(-4, -8) and B(-1, 4) is sqrt(153).