# SOLUTION: I don't know what I am doing wrong but I can't seem to get this right even using the solvers for this type problem.. Can someone please help me solve this before I pull out all my

Algebra ->  Algebra  -> Coordinate-system -> SOLUTION: I don't know what I am doing wrong but I can't seem to get this right even using the solvers for this type problem.. Can someone please help me solve this before I pull out all my       Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra: Coordinate systems, graph plotting, etc Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Coordinate-system Question 105880This question is from textbook Intermediate Algebra : I don't know what I am doing wrong but I can't seem to get this right even using the solvers for this type problem.. Can someone please help me solve this before I pull out all my hair? Thank You. I have to find the midpoint of this line segment; P(2,8) Q(5,8) Thanks.This question is from textbook Intermediate Algebra Answer by bucky(2189)   (Show Source): You can put this solution on YOUR website!Given the two points: . P(2,8) Q(5,8) . The x-value of the midpoint of the line joining these two points is halfway between the x-values of the two points. The two x-values are 2 and 5. Halfway between these two values is 3.5. You can also find this by averaging the two x-values. The average of 2 and 5 is found by adding these two values and dividing by 2. Averaging the two x values for this problem is done this way: . (2 + 5)/2 = 7/2 = 3.5 . The y-value of the midpoint of the line joining these two points is also halfway between the y-values of the two points. The two y-values are 8 and 8. Halfway between these two values is still 8 (since there is zero difference). You can also confirm this by averaging the two y-values. The sum of the two y-values is 8 + 8 or 16. Divide this sum by 2 to get the average y-value as 16/2 = 8. . So the midpoint of the line that connects the two given points is (3.5, 8). . In general, if you are given any two points and asked to find the midpoint of the line joining them, you get the x-value of the midpoint by averaging the x-values of the two points. And you find the y-value of the midpoint by averaging the y-values of the two points. . In this problem the two points have the same y-value. This means that the line connecting the points is a horizontal line that runs between the x-values 2 and 5. So the midpoint is just halfway along this horizontal line. This verifies that to be on the line, the y-value of the midpoint must be 8. And the x-value must be halfway between x= 2 and x = 5. . Again, in summary the midpoint of the line joining the given points is (3.5, 8). . Hope this explains the process of finding midpoints of lines joining two given points. .