Given F(0,2) and G(2,6). If point S lies 5/12 of the way along FG , closer to F than to G, find the coordinates of S . Then verify that this point lies on FG .

For the x coordinate of S: 2(5/12) = 5/6

For the y coordinate of S: 2 + 4(5/12) = 2+ 5/3 = 11/3

Therefore, S(5/6, 11/3)

slope of line segment is 6-2 / 2-0 = 4/2 = 2

the equation of the line is

y - 2 = 2x

y = 2x + 2

plug in the coordinates (5/6, 11/3)

11/3 = 2(5/6) + 2 ?

11/3 = 10/6 + 12/6 ?

11/3 = 22/6 ?

11/3 = 11/3 CHECK!

Secure Information

Content will be erased after question is completed.

Enter the email address associated with your account, and we will email you a link to reset your password.

Forgot your password?

Sign Up