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

Answer:

Options are not clear.

See explanation

Step-by-step 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:

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

By comparison:

$y = \frac{my_2 + ny_1}{m + n}$

Where:

$y_1 = 1; y_2 = 3$

$m : n =5:2$

So, we have:

$y = \frac{5*3 + 2*1}{5 + 2}$

$y = \frac{15 + 2}{7}$

$y = \frac{17}{7}$

Answer 2

Answer:

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

Step-by-step explanation:

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