Mathematics

Question

on the cordinate plane what is the distance between the ponts -4,6 and 9,6

1 Answer

  • Answer:

    13

    Step-by-step explanation:

    METHOD 1:

    The formula of a distance between two points:

    [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

    Substitute the coordinates of the given points (-4, 6) and (9, 6):

    [tex]d=\sqrt{(9-(-4))^2+(6-6)^2}=\sqrt{(9+4)^2+0^2}=\sqrt{13^2}=13[/tex]

    METHOD 2:

    We can see that the second coordinates of the points (ordinate) are the same. Therefore, they lie on a horizontal line. The distance between them is the distance between the x coordinates (abscissa).

    The formula of a distance between two numbers:

    [tex]d=|b-a|[/tex]

    We have

    [tex]a=-4,\ b=9[/tex]

    Substitute:

    [tex]d=|9-(-4)|=|9+4|=|13|=13[/tex]

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