Question

If the x-intercept and y-intercept of a straight line are $\frac{3}{2}$ and $\frac{4}{3}$ respectively, then find the equation of the straight line.

• A. 4x + 9y = 12
• B. 8x + 9y = 12
• C. 8x + 6y = 12
• D. 8x + 9y = 14

Answer 1

The correct option is B

8x + 9y = 12

Equation of the line in the intercept form

$\Rightarrow \frac{x}{a}+\frac{y}{b}=1$ , where a is the x intercept and b is the y intercept.

$\Rightarrow \frac{x}{\frac{3}{2}}+\frac{y}{\frac{4}{3}}=1$

$\Rightarrow \frac{2x}{3}+\frac{3y}{4}=1$

$\Rightarrow 8x+9y=12$