Find the equation of the line parallel to the line $x = 2$ and passing through the midpoint of the segment joining $( 1,11 )$ and $( 7 , - 5 )$.
A) $\quad y = - 7$
B) $\quad x = - 6$
C) $\quad x = 4$
D) $\quad x = 1$
E) $\quad y = 3$

Question

Quizplus · Accepted Answer

The line $x = 2$ is vertical. A line parallel to it will also be vertical and have an equation of the form $x = k$. To find $k$, we calculate the midpoint of the segment joining $(1,11)$ and $(7,-5)$. The midpoint is $\left(\frac{1+7}{2}, \frac{11-5}{2}\right) = (4,3)$. Thus, the line passing through this point and parallel to $x = 2$ is $x = 4$.

Find the Equation of the Line Parallel to the Line x=2x = 2x=2

Find the Equation of the Line Parallel to the Line $x = 2$