Give the equations of two lines passing through $(2, \,14)$. How many more such lines are there, and why ?
$(2,\,14)$ means $x=2$ and $y=14$
Following equations can have $(2,\,14)$ as the solution, i.e. they can pass through the point $(2,\,14)$
$(i)$ $x+y=16$
$(ii)$ $7 x-y=0$
There can be an unlimited number of lines which can pass through the point $(2,\,14)$ because an unlimited number of lines can pass through a point.
Express the following linear equations in the form $ax + by + c = 0$ and indicate the values of $a$, $b$ and $c$ in each case : $-2 x+3 y=6$
Express the following linear equations in the form $ax + by + c = 0$ and indicate the values of $a$, $b$ and $c$ in each case : $x-\frac{y}{5}-10=0$
Draw the graph and linear equations in two variables : $x + y = 4$
Draw the graph and linear equations in two variables : $3 = 2x + y$
Yamini and Fatima, two students of Class $IX$ of a school, together contributed Rs. $100$ towards the Prime Minister’s Relief Fund to help the earthquake victims. Write a linear equation which satisfies this data. (You may take their contributions as Rs. $ x$ and Rs. $y$.) Draw the graph of the same.