What are the coordinates of the point on the directed line segment from (-8, 5)(−8,5) to (4, -3)(4,−3) that partitions the segment into a ratio of 5 to 3?

(2, -7/2)

Step-by-step explanation:

According to the midpoint theorem;

M(X, Y) = [(ax1+bx2/a+b), ay1+by2/a+b ]

(x1, y1) and (x2, y2) are the coordinates

a:b is the given ratio

Given the following

Coordinate of the line segment (-8, 5) and (4, -3)

Ratio: 5:3

Get the X coordinate;

X = ax1 + bx2 / a+b

X = 5(-8) + 3(4)/5+3

X = -40+12/8

X = -28/8

X = -7/2

Get the Y coordinate

Y = ay1 + by2 / a+b

Y = 5(5) + 3(-3)/5+3

Y = 25-9/8

Y = 16/8

Y = 2

Hence the required coordinate is (2, -7/2)

23

step-by-step explanation:

we need to see the graph to know but

strong positive is if it is going up from left to right in a straight diagonal line (like this /)

strong negative is the same but from right to left (like this \)

weak negative is the same as strong negative but its more straight line still right to left

and weak positive is the same as strong positive but more a straight line still left to right though.