We have to find the point that is at 7/10 of the way from point A (-4, -7) to B (12, 4).
We can represent this problem as:
We can find the coordinates of the point C knowing that the proportion of the segment (7/10) applies for the horizontal distance and the vertical distance.
Then, the x-coordinate of C will be the coordinate of A plus 7/10 of the horizontal distance between B and A (in other words, the difference between teh x-coordinates of B and A).
We then can calculate it as:
We can apply the same principle for the y-coordinate:
Answer: the point at 7/10 of the way between A and B has the coordinates (7.2, 0.7)