Question

If the points on the given graph lie on a straight line, then which of the following points will lie on the same straight line?

• A. $(5,9)$
• B. $(9,19)$
• C. $(6,12)$
• D. $(7,15)$

Answer 1

The correct option is C $(6,12)$

Let’s try to draw a straight line through the points in the graph.


Observing the graph, we can see that the line is passing through the origin.
Ordered pairs:
This means when $x$ is $1,$ the corresponding $y$ value will be the unit rate.
The unit rate here is$2.$
Therefore, the equation of the straight line will be $y=2x.$

Option A: $(6,12)$
$y=2\left(6\right)=12$
Therefore, $(6,12)$ lies on the straight line.

Option B: $(5,9)$
$y=2\left(5\right)=10$
Therefore, $(5,9)$ does not lie on the straight line.

Option C: $(7,15)$
$y=2\left(7\right)=14$
Therefore, $(7,15)$ does not lie on the straight line.

Option D: $(9,19)$
$y=2\left(9\right)=18$
Therefore, $(9,19)$ does not lie on the straight line.