Answer:
The desired point is thus (-1/2, -5).
Step-by-step explanation:
The x-component of this directed line segment is 2 - (-8), or 10, and the y-component is -7 - (1), or -8. This segment is in Quadrant II, since the x-component is positive and the y-component is negative.
The point of interest is (3/4) of the way in the positive x-direction from x = -8. We can express this symbolically as -8 + (3/4)(10), or -8 + 7.5, or -1/2.
The point of interest is 3/4 of the way in the negative y direction from 1, or:
1 + (3/4)(-8), or 1 - 6, or -5.
The desired point is thus (-1/2, -5).
