Draw the graph of $x + y = 7.$
Check the solutions of the equation $x -2y = 4$ and which are not : $(0,\,2)$
Express the following linear equations in the form $ax + by + c = 0$ and indicate the values of $a$, $b$ and $c$ in each case : $3 x+2=0$
Given the point $(1,\, 2)$, find the equation of a line on which it lies. How many such equations are there ?
In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius :
$F =\left(\frac{9}{5}\right) C +32$
$(i)$ Draw the graph of the linear equation above using Celsius for $x$ - axis and Fahrenheit for $y$ - axis.
$(ii)$ If the temperature is $30\,^oC$, what is the temperature in Fahrenheit ?
$(iii)$ If the temperature is $95\,^oF$, what is the temperature in Celsius ?
$(iv)$ If the temperature is $0\,^oC$ , what is the temperature in Fahrenheit and if the temperature is $0\,^oF$ , what is the temperature in Celsius ?
$(v)$ Is there a temperature which is numerically the same in both Fahrenheit and Celsius ? If yes, find it.