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)

2. Originally Posted by NathanielZhu

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.