Question

The equation of a line that intercepts the x-axis at x = 4 and the y-axis at y = -6 is

• A. $3x+2y=12$
• B. $2x+3y=12$
• C. $3x-2y=12$
• D. $2x-3y=12$
• E. none of these

Answer 1

The correct option is C $3x-2y=12$

Equation of a line in intercept form is

$\frac{x}{a}+\frac{y}{b}=1$

Here $a=4,y=-6$

$\therefore \frac{x}{4}+\frac{y}{-6}$

$=>\frac{3x-2y}{12}=1$

$=>3x-2y=12$