The line passing through (4,3) and (y,0) is parallel to the line passing through (­1,2) and (3,0). 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 (1,2) and (3,0) = $$\frac{0 - 2}{3 - 1} = \frac{-2}{2} = -1$$

Slope of line passing through (4,3) and (y,0) = $$\frac{0 - 3}{y - 4} = \frac{-3}{(y - 4)}$$

Also, slopes of parallel lines are equal.

=> $$\frac{-3}{y - 4} = -1$$

=> $$y - 4 = 3$$

=> $$y = 3 + 4 = 7$$

=> Ans - (B)