Question

Grace has a segment with endpoints C (3, 4) and D (11, 3) that is divided by a point E such that CE and DE form a 3:5 ratio. She knows the distance between the x coordinates is 8 units. Which of the following fractions will let her find the x coordinate for point E? 3 over 5 5 over 3 3 over 8 5 over 8

Answer 1

From the question, we are to find the x-coordinates of point c.

Recall,

When a segment having endpoints (x1, y10 and (x2, y2) is divided by a point in the segment in the ratio of m:n

So, the x-coordinate of the point will be:

x = x1 + m (x2 - x1)

m + n

So, the fraction that is used to find the x-coordinate would be m

m + n

We have m = 3 and n = 5

Therefore:

3 = 3/8

3 + 5

So, the required fraction will be 3/8.

The correct option is the third option which is 3 over 8.