Question

Find the midpoint of the line segment joining points A and B. A(4, -7), B(4, 3).

a. (4, -2)

b. (4, 0)

c. (4, -5)

d. (4, 5)

Answer 1

The midpoint of the line segment joining points A(4, -7) and B(4, 3) is found using the midpoint formula and is (4, -2).

Step-by-step explanation:

The midpoint of a line segment is the point that divides the segment into two equal parts.

To find the midpoint, you can use the formula: midpoint M = ⁠(⁠(x1 + x2) / 2, (y1 + y2) / 2⁠)⁠, where (x1, y1) and (x2, y2) are the coordinates of the two end points of the line segment.

Applying this formula to points A(4, -7) and B(4, 3), we get:

M = ⁠(⁠(4 + 4) / 2, (-7 + 3) / 2⁠)⁠ = ⁠(⁠8 / 2, -4 / 2⁠)⁠ = ⁠(⁠4, -2⁠)⁠.

Thus, the midpoint of the line segment joining points A and B is (4, -2).

Answer 2

(a)

Step-by-step explanation:

calculate the midpoint (M) using the midpoint formula

M = (
`(x_(1)+x_(2) )/(2)` ,
`(y_(1)+y_(2) )/(2)` )

let (x₁, y₁ ) = A (4, - 7 ) and (x₂, y₂ ) = B (4, 3 )

substitute these values into the formula for M

M = (
`(4+4)/(2)` ,
`(-7+3)/(2)` ) = (
`(8)/(2)` ,
`(-4)/(2)` ) = (4, - 2 )