# math

For the line segment ST, S has coordinates (6,2) and T is on the
y-axis. The midpoint,M, of ST is on the x-axis. Find the coordinates of T and M ?

1. 👍 0
2. 👎 0
3. 👁 355
1. Okay, this one you really really should plot out the coordinates. It will give you an approximate orientation of the line. If plotted it out and realized that ST is a diagonal segment with a POSITIVE slope (meaning it goes up from left to right, that let you know that the y value on the T coordinate MUST has a negative value). I was just trying to lead you through the basic steps on analyzing the problem, you'll find this is a very useful skill if you learn it.

Yeah, this is a tough problem... I was able to solve it but I made an "assumption" which I'm not sure it is okay to make. Here's basically what I did. So I plotted my graph, then I drew a horizontal line from (6,2) to the y-axis to from a right angle with point T and the y axis. The horizontal line is 6 units long. Now here's my assumption, I drew a vertical line upward from the midpoint to the horizontal line and where they intersect, I say the length on each side is 3, assuming that they will divide into two equal parts... which I think should make sense, but I'm not 100% sure.

This is really hard to explain without showing you the graph, so I hope you followed me with your graph looks like mine. Okay, I know that from the x-axis to point S, that's 2 units. So now you basically just formed a small right triangle with the lengths 2 and 3. You can see that the x value of midpoint is 3 units away from point S, thus midpoint should be (3,0).

Find the length from midpoint to S then set that as the distance from midpoint to T to find out the y value on T (0,y).

This is the best I can help. You should get some credits for trying even if it's wrong. Unless someone else here has a better idea than me...

1. 👍 0
2. 👎 0
2. Really not that hard

let point T be (0,b), it is on the y-axis, and let the midpoint be M(a,0), it is on the x-axis.

by the property of the midpoint:
6+0)/2 = a
so a=3

and (b+2)/2 = 0
so b=-2

so T is (0,-2) and M is (3.0)

1. 👍 0
2. 👎 0
3. thanks alot for you

1. 👍 0
2. 👎 0

## Similar Questions

1. ### 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.

2. ### math unit 2

Ray BD bisects ∠ABC so that m∠ABD = 5y – 3 and m∠CBD = 2y +12. Find the value of y. The midpoint of Line Segment AB is (2, -9). The coordinates of one endpoint are A (4, 10). Find the coordinates of endpoint B. Find the

3. ### Geometry

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?

4. ### Geometry

Directed line segment DE has endpoints D(-4,-2) and E(1,8). Point F divides DE such that DF:FE is 2:3. What are the coordinates of F? A. (-3,0) B.(-2,2) C(-1,4) D.(2,4)

1. ### geometry

Given the coordinates of one endpoint of line segment AB and its midpoint M, find the coordinates of the other endpoint. A(0,9), M(2,5)

2. ### math

Question 4(Multiple Choice Worth 1 points) (02.03 MC) The graph shows the velocity f(t) of a runner during a certain time interval: Graph of line segment going through ordered pairs 0, 2 and 6, 8. Graph of another line segment

3. ### math

Which point has the coordinates(-0.5,- 2.5 )? A.point A B.point B*** C.point C D.point D What are the coordinates of point C? A. (-1, 2) B. (- 2,2) C. ( 1.5 ,2)*** D. (- 1.5, 2) Which statement is true about the ordered pair

4. ### Geometry

line segment ab is the diameter of circle O whose center has coordinates (6,8) . what are the coordinates of point b if the coordinates of point a are (4,2)

1. ### geometry

Find the coordinates of point P that lies on the line segment MQ, M(-9, -5), Q(3, 5), and partitions the segment at a ratio of 2 to 5

2. ### math

Points $P$ and $R$ are located at (2, 1) and (12, 15) respectively. Point $M$ is the midpoint of segment $\overline{PR}$. Segment $\overline{PR}$ is reflected over the $x$-axis. What is the sum of the coordinates of the image of