1. What is the equation of the line which intercepts xaxis and yaxis at 3/4 and 2/3 respectively?
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By: anil on 05 May 2019 02.17 am
A line with x-intercept 3/4 will intercept x-axis at $$(frac{3}{4},0)$$ A line with y-intercept 2/3 will intercept y-axis at $$(0,frac{2}{3})$$ => Slope, $$m = frac{2}{3} div frac{-3}{4} = frac{-8}{9}$$ Equation of line passing thorough points $$(x_1 , y_1)$$ and slope $$m$$ = $$(y - y_1) = m (x - x_1)$$ => Equation of line = $$(y - 0) = frac{-8}{9} (x - frac{3}{4})$$ => $$9y = -8x + 6$$ => $$8x + 9y = 6$$ => Ans - (C)
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