Respuesta :
Answer:
The coordinate of the point on the line segment from (5, -5) to (7, 7) that partitions the segment into a ratio of 3 to 1 is (6.5, 4)
Step-by-step explanation:
Here we have the points on the line given as
(5, -5) and (7, 7)
Therefore to the distance between the x and y coordinates are;
x-coordinate difference, 7 - 5 = 2 and
y-coordinate difference, 7 - (-5) = 12 and
The required ratio is 3:1, that is 3 portions on one side and 1 portion on the other.
Therefore, the total portion of the line is 3 + 1 = 4
So we divide each of the differences between x and y by 3/4 and add it to the coordinate of the first point on the line as follows
x-coordinate difference × 3/4 = 2×3/4 =1.5
y-coordinate difference × 3/4 = 12×3/4 = 9
Therefore, the coordinate of the point on the line segment from (5, -5) to (7, 7) that partitions the segment into a ratio of 3 to 1 is
x-coordinate = 5 + 1.5 = 6.5
y-coordinate = -5 + 9 = 4
or (6.5, 4).
Answer:
(6.5,4)
Step-by-step explanation:
It looks a little sketchy but its correct
