Answer:
x = 4
Step-by-step explanation:
To determine the line of reflection, we can refer to the picture. We can see that ABCDE is reflected horizontally. So, the line of reflection must be a vertical line, which is placed at the center between the ABCDE and A'B'C'D'E'. Therefore the line will be:
[tex]\boxed{x=a}[/tex]
where, a is the middle between the x-values of A and A', or B and B', or C and C', etc.
To find the middle point, we can use this formula:
[tex]\boxed{(x_m,y_m)=\left(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} \right)}[/tex]
Since we only need the x-value, then:
[tex]\begin{aligned}x_{mid}&=\frac{x_A+x_{A'}}{2}\\\\&=\frac{-3+11}{2}\\\\&=4\end{aligned}[/tex]
Hence the line of reflection is x = 4
