What are the coordinates of the point on the directed line segment from ( 3 , 2 ) (3,2) to ( 7 , − 6 ) (7,−6) that partitions the segment into a ratio of 3 to 5?

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct