The line passing through (2,-1) and (y,-2) is parallel to the line passing through (-3,4) and (0,3) Find y?

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 (-3,4) and (0,3) = $$\frac{3 - 4}{0 + 3} = \frac{-1}{3}$$

Slope of line passing through (2,-1) and (y,-2) = $$\frac{-2 + 1}{y - 2} = \frac{-1}{(y - 2)}$$

Also, slopes of parallel lines are equal.

=> $$\frac{-1}{y - 2} = \frac{-1}{3}$$

=> $$y - 2 = 3$$

=> $$y = 3 + 2 = 5$$

=> Ans - (C)