# Geometry

posted by .

Point Y lies on line segment XZ, between X and Z. The (x,y) coordinates for X and Z are (7,2) and (-3,-3), respectively. If the ratio of line segment XY to line segment YZ is 2 to 3, what are the (x,y) coordinates of Y?

• Geometry -

Y is 2/5 of the way from X to Z

x changes by -10
y changes by -5

when moving from X to Z. So,

Y = X+(-4,-2) = (3,0)

## Similar Questions

1. ### Geometry

Yes, I'm this desperate. I just have problems with coming up with the statements for two column proofs. Answers would be appreciated. Given: line segment AX congruent to line segment DX, line segment XB is congruent to XC. Prove: Line …
2. ### Geometry

Please write a paragraph proof for this statement. 30: Point Y is the midpoint of segment XZ. Z is the midpoint of segment YW. PRove that segment or line XY is congruent to segment or line ZW.
3. ### Geometry

Please write a paragraph proof for this statement. Point Y is the midpoint of segment XZ. Z is the midpoint of segment YW. PRove that segment or line XY is congruent to segment or line ZW.
4. ### geometry

Given: M is the midpoint of line segment PQ and line segment RS. Prove: line segment QR is congruent to line segment PS.
5. ### math

A line segment has an endpoint at (3,2). If the midpoint of the line segment is (6.-2), what are the coordinates of the point at the other end of the line segment?
6. ### Geometry

Find KN and LM. In triangle LKM, angle L is bisected. Line segment LK is 11, line segment KN is x-4, line segment NM is 5.4, and line segment LM is 2x + 1.3 (there is a drawing of this triangle) Thanks.
7. ### Geometry-8th gr

Find KN and LM. In triangle LKM, angle L is bisected. Line segment LK is 11, line segment KN is x-4, line segment NM is 5.4, and line segment LM is 2x + 1.3 (there is a drawing of this triangle) Thanks.
8. ### Math

1)Let AB be the directed line segment beginning at point A(1 , 1) and ending at point B(-4 , 6). Find the point P on the line segment that partitions the line segment into the segments AP and PB at a ratio of 5:1. A)(-3 1/6,5 1/6) …