What are the coordinates of the point on the directed line segment from (-9, -7)(−9,−7) to (-2, 7)(−2,7) that partitions the segment into a ratio of 3 to 4?

Answer 1

x increases by 7 , from -9 to -2, so add 3 to -9 to get -6. Add 3 because it's 3/7 of the way. take the smaller x value and add 3. -9+3 = -6

do the same for the difference in the y values

y increases by 14, from -7 to 7, so add 3/7 of 14 = 6 to get -1

the point is (-6,-1) just take 3/7 of the differences and add to the first point

that segment is 3/7 of the distance, while the remaining segment is 4/7 the distance, so that's a ratio of 3:4