Answer
$Q(4.5,0.75)$
Work Step by Step
To find the midpoint between points $(x_1,y_1)$ and $(x_2,y_2)$, we use the midpoint formula:
$\displaystyle Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$
We have the two points, $P(1.5,1.25)$ and $Q(x,y)$. The midpoint is $M(3,1)$. Thus we have:
$\displaystyle Midpoint=(\frac{1.5+x}{2},\ \frac{1.25+y}{2})=(3,1)$
We solve for $x$:
$\frac{1.5+x}{2}=3$
$1.5+x=6$
$x=4.5$
And for $y$:
$\frac{1.25+y}{2}=1$
$1.25+y=2$
$y=2-1.25$
$y=0.75$
Therefore, the point Q is: $(4.5,0.75)$