1. The line passing through (2,-1) and (y,-2) is parallel to the line passing through (-3,4) and (0,3) Find y?
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By: anil on 05 May 2019 02.10 am
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)
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Also, slopes of parallel lines are equal. => $$frac{-1}{y - 2} = frac{-1}{3}$$ => $$y - 2 = 3$$ => $$y = 3 + 2 = 5$$ => Ans - (C)