What is the equation of the line which has 3/2 and -4/7 as x and y intercept respectively?

A line with x-intercept 3/2 will intercept x-axis at $$(\frac{3}{2},0)$$

A line with y-intercept -4/7 will intercept y-axis at $$(0,\frac{-4}{7})$$

=> Slope, $$m = \frac{-4}{7} \div \frac{-3}{2} = \frac{8}{21}$$

Equation of line passing thorough points $$(x_1 , y_1)$$ and slope $$m$$ = $$(y - y_1) = m (x - x_1)$$

=> Equation of line = $$(y - 0) = \frac{8}{21} (x - \frac{3}{2})$$

=> $$21y = 8x - 12$$

=> $$8x - 21y = 12$$

=> Ans - (C)