Question

Match the following columns:

Column I	Column II
(a) The equation of a line parallel to the x-axis is	(p) y = mx
(b) The equation of a line parallel to the y-axis is	(q) $\frac{5}{2}$
(c) The equation of a line through the origin is	(r) x = k
(d) If the point (2, 3) lies on the graph of the equation 3y = ax + 4, then a =	(s) y = k

(a) ......,
(b) ......,
(c) ......,
(d) ......,

Answer 1

(a) The equation of a line parallel to the $x-$axis is $y=k$.
(b)The equation of a line parallel to the $y$-axis is $x=k$.
(c) The equation of a line through the origin is $y=mx$.
(d) The point (2, 3) lies on the graph of $3y=ax+4$. Then,
$$\begin{gathered} 3\times 3=a\times 2+4 \\ \Rightarrow 9=2a+4 \\ \Rightarrow 2a=9-4=5 \\ \Rightarrow a=\frac{5}{2} \end{gathered}$$

Column I	Column II
(a) The equation of a line parallel to the x- axis is	(s) y = k
(b) The equation of a line parallel to the y- axis is	(r) x = k
(c) The equation of a line through the origin is	(p) y = mx
(d) If the point (2, 3) lies on the graph of the equation 3y = ax + 4, then a =	(q) $\frac{5}{2}$