Question

What is the equation of the straight line passing through the point $(2,3)$ and making an intercept on the positive y-axis equal to twice its intercept on the positive x-axis?

• A. $2x+y=5$
• B. $2x+y=7$
• C. $x+2y=7$
• D. $2x-y=1$

Answer 1

The correct option is D $2x-y=1$

it is given that , intercept on the positive y-axis equal to twice its intercept on the positive x-axis $\Rightarrow y=2x$

So, now slope of the line will be $m=\frac{2x}{x}=2$

Thus, Equation will be

$(y-3)=2(x-2)\Rightarrow 2x-y=1$

Therefore, Answer is $D$