Question 148528


Since M(-4,2)is the midpoint, this means that the midpoint coordinates are {{{x=-4}}} and {{{y=2}}}


So the formula for the midpoint of the x-coordinate is:


{{{(x[1]+x[2])/2=x[mid]}}}



{{{(-6+x[2])/2=-4}}} Plug in {{{x[mid]=-4}}} and {{{x[1]=-6}}} (this is from point P). Note: {{{x[2]}}} is the x-coordinate for the point Q



{{{-6+x[2]=-8}}} Multiply both sides by 2.



{{{x[2]=-2}}} Add 6 to both sides.


So the x-coordinate for point Q is {{{x=-2}}}


------------



Now the formula for the midpoint of the y-coordinate is:


{{{(y[1]+y[2])/2=y[mid]}}}



{{{(6+y[2])/2=2}}} Plug in {{{y[mid]=2}}} and {{{y[1]=6}}} (this is from point P). Note: {{{y[2]}}} is the y-coordinate for the point Q



{{{6+y[2]=4}}} Multiply both sides by 2.



{{{x[2]=-2}}} Subtract 6 from both sides.


So the y-coordinate for point Q is {{{y=-2}}}


So the point Q is (-2,-2)