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Part 1
Find the midpoint of the line segment joining the points R(5,3) and S (-2,6).
To find the midpoint of a line segment, you can use the formula:
Midpoint M = [(x1 + x2)/2 , (y1 + y2)/2]
Here, point R is x1,y1 (5,3) and point S is x2,y2 (-2,6)
So,
M = [(5 + -2)/2 , (3 + 6)/2]
M = [3/2 , 9/2]
M = [1.5, 4.5]
So, the midpoint of the line segment joining points R and S is (1.5, 4.5).
To find the midpoint of a line segment, you can use the midpoint formula. The midpoint formula states that for two points (x1, y1) and (x2, y2), the midpoint is given by:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Let's use the midpoint formula to find the midpoint of the line segment joining points R(5,3) and S(-2,6).
Let's assign the coordinates of R to (x1, y1) and the coordinates of S to (x2, y2).
So, we have:
x1 = 5, y1 = 3
x2 = -2, y2 = 6
Now, substitute these values into the midpoint formula:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Midpoint = ((5 + -2) / 2, (3 + 6) / 2)
Midpoint = (3 / 2, 9 / 2)
Therefore, the midpoint of the line segment joining points R(5,3) and S(-2,6) is (3/2, 9/2).
To find the midpoint of a line segment, you need to take the average of the x-coordinates and the average of the y-coordinates of the two endpoints.
Let's find the midpoint of the line segment joining the points R(5,3) and S(-2,6):
1. Identify the x-coordinates and y-coordinates of the two points:
Point R: x1 = 5, y1 = 3
Point S: x2 = -2, y2 = 6
2. Calculate the average of the x-coordinates:
(x1 + x2) / 2 = (5 + (-2)) / 2 = 3 / 2 = 1.5
3. Calculate the average of the y-coordinates:
(y1 + y2) / 2 = (3 + 6) / 2 = 9 / 2 = 4.5
4. The midpoint is the result of the averages, so the coordinates of the midpoint are (1.5, 4.5).
Therefore, the midpoint of the line segment joining points R(5,3) and S(-2,6) is (1.5, 4.5).