1. 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?





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  • By: anil on 05 May 2019 02.15 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 (-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)
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