Directed Line Segments and Modeling Answers

On a coordinate plane, a line is drawn from point J to point K. Point J is at (1, negative 10) and point K is at point (7, 2).

On a coordinate plane, a line is drawn from point A to point B. Point A is at (negative 8, negative 13) and point B is at (4, 11).

On a coordinate plane, a line is drawn from point J to point K. Point J is at (negative 6, negative 2) and point K is at point (8, negative 9).

On a coordinate plane, a line is drawn from point A to point B. Point A is at (2, negative 3) and point B is at (negative 4, 9).

On a number line, the directed line segment from Q to S has endpoints Q at –8 and S at 12. Point R partitions the directed line segment from Q to S in a 4:1 ratio.Which expression correctly uses the formula to find the location of point R?

What is the location of point G, which partitions the directed line segment from F to D into an 8:5 ratio?

On a coordinate plane, a line is drawn from point A to point B. Point A is at (7, negative 2) and point B is at (negative 8, negative 9).

The midpoint of a line segment partitions the line segment into a ratio of

Point P partitions the directed line segment from A to B into the ratio 3:4. Will P be closer to A or B? Why?

On a coordinate plane, a line is drawn from point J to point K. Point J is at (negative 15, negative 5) and point K is at (25, 15).