Write whether the following statement is True or False. Justify your answer:
The graph given below represents the linear equation $x + y = 0$.

If the temperature of a liquid can be measured in Kelvin units as $x^{\circ} K$ or in Fahrenheit units as $y^{\circ} F$,the relation between the two systems of measurement of temperature is given by the linear equation
$y = \frac{9}{5}(x - 273) + 32$
$(i)$ Find the temperature of the liquid in Fahrenheit if the temperature of the liquid is $313^{\circ} K$.
$(ii)$ If the temperature is $158^{\circ} F$,then find the temperature in Kelvin.

Draw the graph of the linear equation whose solutions are represented by the points having the sum of the coordinates as $10$ units.

The linear equation that converts Fahrenheit $(F)$ to Celsius $(C)$ is given by the relation:
$C = \frac{5F - 160}{9}$
$(i)$ If the temperature is $86^{\circ} F$,what is the temperature in Celsius?
$(ii)$ If the temperature is $35^{\circ} C$,what is the temperature in Fahrenheit?
$(iii)$ If the temperature is $0^{\circ} C$,what is the temperature in Fahrenheit? And if the temperature is $0^{\circ} F$,what is the temperature in Celsius?
$(iv)$ What is the numerical value of the temperature which is the same in both the scales?

From the choices given below,choose the correct equation whose graph is shown in the following figure.

The work done by a body on application of a constant force is the product of the constant force and the distance travelled by the body in the direction of force. Express this in the form of a linear equation in two variables and draw its graph by taking the constant force as $3$ units. What is the work done when the distance travelled is $2$ units? Verify it by plotting the graph.