What are the X and Y coordinates.

Question

The endpoints of TS are T(-2,-3) and S(13,7). Point C lies on TS and is 4/5 of the way from T to S.

Answer 1

From T to S, the x coordinates increase by 15 units, from -2 to 13.

 

x-coordinate of C is -2 + (4/5)(15) = -2 + 12 = 10

 

From T to S, the y coordinates increase by 10 units, from -3 to 7.

 

y-coordinate of C = -3 + (4/5)(10) = -3 + 8 = 5

 

So, C = (10,5)

 

 

Answer 2

C = (c₁, c₂)

 

c₁ = (4/5)(13 - (-2))

c₂ = (4/5)(7 - (-3))

 

What are the coordinates?