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?

Slope of line passing through $$(x_1,y_1)$$ and $$(x_2,y_2)$$ is $$\frac{y_2 - y_1}{x_2 - x_1}$$

=> Slope of line passing through (-2,-1) and (6,3) = $$\frac{3 + 1}{6 + 2} = \frac{4}{8}$$

Slope of line passing through (-3,1) and (x,5) = $$\frac{5 - 1}{x + 3} = \frac{4}{(x + 3)}$$

Also, slopes of parallel lines are equal.

=> $$\frac{4}{x + 3} = \frac{4}{8}$$

=> $$x + 3 = 8$$

=> $$y = 8 - 3 = 5$$

=> Ans - (D)