What is the equation of the line which intercepts xaxis and yaxis at 3/4 and 2/3 respectively?
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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