Maths-
General
Easy

Question

Find the midpoint of the segment joining points A (-8, -5) and B (6, 9).

Hint:

Midpoint divides the line segment in two equal parts.

○        If Line has  two endpoints (x1, y1) and  (x2, y2) then midpoint of line segment will be fraction numerator open parentheses x subscript 1 plus x subscript 2 close parentheses over denominator 2 end fraction comma fraction numerator open parentheses y subscript 1 plus y subscript 2 close parentheses over denominator 2 end fraction

The correct answer is: (-1, 2).


    • Step by step explanation:
    ○        Given:
    End points of line.

    A (-8, -5) and B (6, 9)
    ○        Step 1:
    ○        As we know, the midpoint divides the line segment in two equal parts, and midpoint of line are given by  fraction numerator open parentheses x subscript 1 plus x subscript 2 close parentheses over denominator 2 end fraction comma fraction numerator open parentheses y subscript 1 plus y subscript 2 close parentheses over denominator 2 end fraction
    So,
    Midpoint of AB:

    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow fraction numerator open parentheses x subscript 1 plus x subscript 2 close parentheses over denominator 2 end fraction comma fraction numerator open parentheses y subscript 1 plus y subscript 2 close parentheses over denominator 2 end fraction end cell row cell not stretchy rightwards double arrow fraction numerator left parenthesis negative 8 plus 6 right parenthesis over denominator 2 end fraction comma fraction numerator left parenthesis negative 5 plus 9 right parenthesis over denominator 2 end fraction end cell row cell not stretchy rightwards double arrow fraction numerator negative 2 over denominator 2 end fraction comma 4 over 2 end cell end table

    rightwards double arrow(-1, 2)

    • Final Answer:
    Hence, the coordinates of the midpoint of AB is (-1, 2).

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