What will be the equation of the line, which makes intercepts -5 on x-axis and -6 on the y-axis.
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(6x+5y+30=0\)
A line that cuts the x-axis at \(a\) and the y-axis at \(b\) passes through the points \((a,0)\) and \((0,b)\), and its equation is the intercept form \(\frac{x}{a}+\frac{y}{b}=1\). Here the intercepts are \(a=-5\) and \(b=-6\), both on the negative sides of the axes.
Putting in the intercepts: \(\displaystyle\frac{x}{-5}+\frac{y}{-6}=1\)
\(6x+5y=-30\)
So the equation of the line is \(6x+5y+30=0\)
