Question

100 POINTS

A point M on a segment with endpoints (-2, 1) and ( 6, 7) partitions the segment in a 3:5 ratio. Find M. You must show all of your work to receive credit.

Answer 1

Answer:

So the coordinates of M are (8.5,2.17)

Step-by-step explanation:

To obtain a 3:5 ratio, the x coordinate of M is 3/5 of the way between the x-coordinate of X (1) and the x-coordinate of Y (10).

3/5 of that distance = 3/5 * (10 - 1) = 7.5, which you add to the x-coordinate of X(1), to get the x-coordinate of M (8.5).

Similarly, the y-coordinate of M is 3/5 of the way between the y-coordinate of X (-2) and the y-coordinate of y (3). 5/6 of that distance = 3/5* (3 - - 2) = 4.17, which you add to the y-coordinate of X(-2), to get the y-coordinate of M(2.17).

So the coordinates of M are (8.5,2.17)

Answer 2

Answer:

$(1 \times \frac{13}{4} )$

Find the coordinates of the point:

$(1 \times \frac{13}{4} )$