Question

What are the coordinates of the midpoint of segment ab for each set of endpoints? a(-3,4),b(1,2)

Answer 1

(-1, 3)

Explanation:

To find the coordinates of the midpoint (M) of a line segment with endpoints A(-3, 4) and B(1, 2), you can use the midpoint formula:

M(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

In this case:

x₁ = -3

x₂ = 1

y₁ = 4

y₂ = 2

Plug these values into the formula:

M(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

M(x, y) = [(-3 + 1) / 2, (4 + 2) / 2]

M(x, y) = [-2 / 2, 6 / 2]

M(x, y) = [-1, 3]

So, the coordinates of the midpoint M of segment AB are (-1, 3).