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Part 1
Find the midpoint of the line segment joining the points R(-3,3) and S(2,6)
The midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by the formula:
Midpoint = [(x₁ + x₂)/2 , (y₁ + y₂)/2]
Applying this to the points R(-3,3) and S(2,6):
Midpoint = [(-3 + 2)/2 , (3 + 6)/2]
= [-1/2 , 9/2]
So, the midpoint of the line segment joining the points R(-3,3) and S(2,6) is (-1/2, 9/2) or (-0.5, 4.5) in decimal form.
what is the midpoint as fractions
The midpoint of the line segment joining the points R(-3,3) and S(2,6) is (-1/2, 9/2) when expressed as fractions.
To find the midpoint of a line segment, you can use the midpoint formula:
Midpoint = [(x1 + x2) / 2, (y1 + y2) / 2]
Given points R(-3,3) and S(2,6), we can substitute the coordinates into the formula:
Midpoint = [((-3 + 2) / 2), ((3 + 6) / 2)]
Midpoint = [(-1 / 2), (9 / 2)]
Therefore, the midpoint of the line segment joining points R(-3,3) and S(2,6) is M(-1/2, 9/2).
To find the midpoint of a line segment, you can use the midpoint formula, which states that the coordinates of the midpoint are the average of the coordinates of the endpoints.
Let's apply this formula to the given line segment joining points R(-3, 3) and S(2, 6).
The midpoint formula is:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
So, let's calculate the midpoint using this formula:
x-coordinate of the midpoint = (-3 + 2) / 2 = -1/2
y-coordinate of the midpoint = (3 + 6) / 2 = 9/2
Therefore, the midpoint of the line segment joining points R(-3, 3) and S(2, 6) is (-1/2, 9/2).