Answer:
(6.5, 3.4)
Step-by-step explanation:
Given:
A(-4, -5)
B(11, 7)
Required:
Coordinates of the point 7/10 of the distance between A and B.
SOLUTION:
Solve using the formula below:
[tex] (x, y) = (x_1 + k(x_2 - x_1), y_1 + k(y_2 - y_1)) [/tex]
Let,
[tex] A(-4, -5) = (x_1, y_1) [/tex]
[tex] B(11, 7) = (x_2, y_2) [/tex]
Thus, plug in the values as follows:
[tex] (x, y) = (-4 + \frac{7}{10}(11 -(-4)), -5 + \frac{7}{10}(7 -(-5)) [/tex]
[tex] (x, y) = (-4 + \frac{7}{10}(15), -5 + \frac{7}{10}(12) [/tex]
[tex] (x, y) = (-4 + \frac{7*15}{10}, -5 + \frac{7*12}{10} [/tex]
[tex] (x, y) = (-4 + 10.5, -5 + 8.4) [/tex]
[tex] (x, y) = (6.5, 3.4) [/tex]
The coordinates of the point 7/10 from A to B are (6.5, 3.4)
