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Math Help - Please check my answers.

  1. #1
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    Please check my answers.

    Will someone please check my answers and if I got them wrong, please explain how to get the right answer?

    I'm not really a math person and I'm a bit on the slow side so sorry if there's a lot off mistakes.

    Thank You!




    1. Given point A(-4,5) and point B(6,-9). Find the value of n, so that point C(n,2), is equidistant from points A and B.

    Here's what I got using the midpoint formula, (-1,2).


    2. Find the value of k, if the line joining point D(8,k) and point E(3,-9) is perpendicular to the line 3x-2y=11.

    I converted 3x-2y=11 to 1.5x-5.5 and then plugged in 8 for x and got 6.5 for k.

    3. Find the linear equation, in standard form, for the perpendicular bisecter of FG if the point F(8,-15) and point G(-4,-5).

    I got the slope as 6/5 and (2,-10) with the midpoint formula.
    I got the final answer X-5y=31.


    4. Given point H(-3,-8) and point M(-6,4). Find the coordinate of point I(x,y), so M is the midpoint of the segment that joins point H and I.

    I used the midpoint formular and got (-9,16)
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  2. #2
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    Quote Originally Posted by NathanielZhu View Post
    Will someone please check my answers and if I got them wrong, please explain how to get the right answer?

    I'm not really a math person and I'm a bit on the slow side so sorry if there's a lot off mistakes.

    Thank You!




    1. Given point A(-4,5) and point B(6,-9). Find the value of n, so that point C(n,2), is equidistant from points A and B.

    Here's what I got using the midpoint formula, (-1,2).

    2. Find the value of k, if the line joining point D(8,k) and point E(3,-9) is perpendicular to the line 3x-2y=11.

    I converted 3x-2y=11 to 1.5x-5.5 and then plugged in 8 for x and got 6.5 for k.

    3. Find the linear equation, in standard form, for the perpendicular bisecter of FG if the point F(8,-15) and point G(-4,-5).

    I got the slope as 6/5 and (2,-10) with the midpoint formula.
    I got the final answer X-5y=31.

    4. Given point H(-3,-8) and point M(-6,4). Find the coordinate of point I(x,y), so M is the midpoint of the segment that joins point H and I.

    I used the midpoint formular and got (-9,16)
    1. Wrong. Using the midpoint formula you get a y-coordinate equal to -2. But the given y-coordinate is y = 2. Therefore C(n, 2) does not lie on the midpoint of the line segment joining A and B. Plot A and B. The required point C is the vertex of an isosceles triangle ....


    2. Wrong. You require the gradient of the line segment joing D(8,k) and E(3,-9) to equal -2/3 (why?). Does your answer satisfy this?


    3. Wrong. Your slope and midpoint are correct. But does your answer have this slope and does the point (2, -10) lie on it?


    4. Correct.
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