Final answer:
To find the point that is 4/5 the way from point A to point B, we can use the midpoint formula. The point that is 4/5 the way from A to B is approximately (4.2, 7.4).
Step-by-step explanation:
To find the point that is 4/5 the way from point A to point B, you can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) are given by:
x = (x1 + x2)/2
y = (y1 + y2)/2
In this case, point A is (1, 3) and point B is (7, 8). Plugging these values into the formula, we can find the coordinates of the midpoint:
x = (1 + 7)/2 = 4
y = (3 + 8)/2 = 5.5
So the midpoint is (4, 5.5). Since the question asks for the point that is 4/5 the way from A to B, we can find this point by multiplying the differences between the x and y coordinates of A and the midpoint by 4/5:
x = 1 + (4 * 4/5) = 1 + 3.2 = 4.2
y = 3 + (5.5 * 4/5) = 3 + 4.4 = 7.4
Therefore, the point that is 4/5 the way from A to B is approximately (4.2, 7.4).