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.
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)