What are the coordinates of the point on the directed line segment from (-6,9) to (4, -1) that partitions the segment into a ratio of 1 to 4?

Step-by-step explanation:

difference of x-coordinates = 4-(-6) = 10

difference of y-coordinates = -1-9 = -10

partition the differences into a ratio of 1:4

10 × 1/(1+4) = 2

-10 × 1/(1+4) = -2

(-6+2,9-2) = (-4,7)

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are