Question 1185204
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Imagine walking along this path.<br>
From the endpoint (-8,2) to the midpoint (9,-4), you have walked (9-(-8))=17 units in the x direction and (-4-2)=-6 units in the y direction.<br>
Since you have walked halfway, to get to the other endpoint you need to walk another 17 units in the x direction and another -6 units in the y direction.<br>
9+17=26; -4+(-6)=-10<br>
ANSWER: The other endpoint is (26,-10)<br>
You could use formal algebra and the midpoint formula to solve the problem:<br>
A(-8,2); B(x,y); midpoint M(9,-4)<br>
x coordinate of B:
{{{((-8)+x)/2 = 9}}}
{{{-8+x=18}}}
{{{x=18+8=26}}}<br>
y coordinate of B:
{{{((2)+y)/2=-4}}}
{{{2+y=-8}}}
{{{y=-8-2=-10}}}<br>
(x,y) = (26,-10)<br>
But plugging numbers into formulas doesn't help very much if you are trying to UNDERSTAND how to solve the problem....<br>