Question

The equation of a line is given as,
$y=\frac{5x}{11}+12$

Select the points that lies on the line.

• A. (11,17) and (22,22)
• B. (17,11) and (22,22)
• C. (11,17) and (24,24)
• D. (17,11) and (24,24)

Answer 1

The correct option is A (11,17) and (22,22)

The given equation of the line is, $\text{y}=\frac{5x}{11}+12$

Now, we have to substitute values of $x$ in the equation to get the corresponding value of $y$.

In case of the first option, the given points are (11,17) and (22,22).

When $x=11$, value of $y$ is,
$y=\frac{5\times 11}{11}+12=5+12=17$

This implies that (11,17) is a point on the straight line with the equation, $y=\frac{5x}{11}+12$

When $x=22$, value of y is,
$\text{y}=\frac{5\times 22}{11}+12=10+12=22$

This implies that (22,22) is also a point on the straight line with the equation,
$\text{y}=\frac{5x}{11}+12$

So, only the points of option (a) lie on the given straight line.

Considering the other options, we get,

$\therefore$ The points that lies on the given line is (11,17) and (22,22).