The line passing through point (-3, 1) and point (x, 5) is parallel to the line passing through point (-2, -1) and point (6, 3). What is the value of x?

Answer: Option D

Slope (m₁) for the line which passes through the points (-3, 1) and (x, 5) $$=\frac{5-1}{x+3}=\frac{4}{x+3}$$
Similarly, slope (m₂) for the line which passes through the points (-2, -1) and (6, 3) $$=\frac{3+1}{6+2}=\frac{4}{8}=\frac{1}{2}$$
If two lines are parallel to each other.
$$\begin{array}{rl}& \text{Then, }{m}_1=m_2\\ & \Rightarrow \frac{4}{x+3}=\frac{1}{2}\\ & \Rightarrow x+3=8\\ & \Rightarrow x=5\end{array}$$