Question

A line in the $xy$-plane passes through the origin and has a slope of $\frac{1}{7}$. Which of the following points lies on the line?

• A. $(0,7)$
• B. $(1,7)$
• C. $(7,7)$
• D. $(14,2)$

Answer 1

The correct option is D $(14,2)$

If any straight line passes through origin, then it must of the form $y=mx$.

Now if the slope is $\frac{1}{7}$, then line will be $y=\frac{1}{7}x$ or $7y-x=0$

We can see out of all the points only point $(14,2)$ satisfies the equation of the line. Hence Only $(14,2)$ lies on the line.

Correct option is $D$