Question

What is the y-coordinate of the point that divides the

Answer 1

Answer:

$y = 0$

Step-by-step explanation:

Given

Line segment JK

$J = (1,-10)$

$K = (7,2)$

Ratio; $m:n= 5:1$

Required

Find the coordinates of y

From the question; the formula to use is

$y = (\frac{m}{m+n})(y_2 - y_1) + y_1$

We have that; m = 5; n = 1

$J =(x_1, y_1) = (1,-10)$

Hence, $y_1 = -10$

$K = (x_2,y_2)= (7,2)$

Hence, $y_2 =2$

Substitute the above values in the given formula;

$y = (\frac{m}{m+n})(y_2 - y_1) + y_1$ becomes

$y = (\frac{5}{5+1})(2 - (-10)) + (-10)$

Solve brackets

$y = (\frac{5}{6})(2 +10)) - 10$

$y = (\frac{5}{6})(12)) - 10$

Open bracket

$y = \frac{5}{6} * 12 - 10$

$y = \frac{5*12}{6}- 10$

$y = \frac{60}{6}- 10$

$y = 10 - 10$

$y = 0$

Answer 2

Answer: 0

Step-by-step explanation: