Question

question 1-7
suppose $overline{xy}$ has one endpoint at $x(0,0)$. if $(3,4)$ is the midpoint of $overline{xy}$, what are the coordinates of point $y$?

Explanation:

Step1: Recall mid - point formula

Let $X(x_1,y_1)=(0,0)$ and mid - point $M(x_m,y_m)=(3,4)$, and $Y(x_2,y_2)$. The mid - point formula is $x_m=\frac{x_1 + x_2}{2}$ and $y_m=\frac{y_1 + y_2}{2}$.

Step2: Solve for $x_2$

$3=\frac{0 + x_2}{2}$, then $x_2 = 6$.

Step3: Solve for $y_2$

$4=\frac{0 + y_2}{2}$, then $y_2 = 8$.

Answer:

$(6,8)$