Find the coordinates of the point 7/10
of the way from A to B.
A(-3,-7)B(11,6)

(6.8, 2.1) are the coordinates of the desired point.

Step-by-step explanation:

First find the changes in x and y that occur here.  From (-3, -7) to (11, 6), x increases by 14 and y increases by 13.

Seven tenths of the way from A to B in the x direction is (7/10)(14 units) = 9.8 units.  Seven tenths of the way from A to B in the y direction is

(7/10)(13 units) = 9.1 units.

We position ourselves at the starting point (-3, -7) and increase both x and y appropriately to determine the point 7/10 of the way from the first to the second:

(-3 + 9.8, -7 + 9.1), or

(6.8, 2.1) are the coordinates of the desired point.