Answer:
[tex]y = 0[/tex]
Step-by-step explanation:
Given
Line segment JK
[tex]J = (1,-10)[/tex]
[tex]K = (7,2)[/tex]
Ratio; [tex]m:n= 5:1[/tex]
Required
Find the coordinates of y
From the question; the formula to use is
[tex]y = (\frac{m}{m+n})(y_2 - y_1) + y_1[/tex]
We have that; m = 5; n = 1
[tex]J =(x_1, y_1) = (1,-10)[/tex]
Hence, [tex]y_1 = -10[/tex]
[tex]K = (x_2,y_2)= (7,2)[/tex]
Hence, [tex]y_2 =2[/tex]
Substitute the above values in the given formula;
[tex]y = (\frac{m}{m+n})(y_2 - y_1) + y_1[/tex] becomes
[tex]y = (\frac{5}{5+1})(2 - (-10)) + (-10)[/tex]
Solve brackets
[tex]y = (\frac{5}{6})(2 +10)) - 10[/tex]
[tex]y = (\frac{5}{6})(12)) - 10[/tex]
Open bracket
[tex]y = \frac{5}{6} * 12 - 10[/tex]
[tex]y = \frac{5*12}{6}- 10[/tex]
[tex]y = \frac{60}{6}- 10[/tex]
[tex]y = 10 - 10[/tex]
[tex]y = 0[/tex]
