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)