Question

Segment CD is shown on the graph. Which shows how to find the y-coordinate of the point that will divide CD into a 5:2 ratio using the formula y = (y2 – y1) + y1? y = (3 – 1) + 1 y = (3 + 4) – 4 y = (3 – 1) + 1 y = (3 + 4) – 4

Answer 1

{5/7}(3-1)+1

Explanation:

got it right on edg

Answer 2

Options are not clear.

See explanation

Explanation:

Given

`C = (-4,1)`

`D = (3,3)`

`m : n =5:2`

Required

The y coordinate

When a line is divided into segments, by ratios.

The formula is:

`(x,y) = ((mx_2 + nx_1)/(m + n),(my_2 + ny_1)/(m + n))`

By comparison:

`y = (my_2 + ny_1)/(m + n)`

Where:

`y_1 = 1; y_2 = 3`

`m : n =5:2`

So, we have:

`y = (5*3 + 2*1)/(5 + 2)`

`y = (15 + 2)/(7)`

`y = (17)/(7)`