From the choices given below, choose the equation whose graphs are given in Fig. $(i)$ and Fig. $(ii)$.
For Fig. $(i)$ For Fig. $(ii)$
$(a)$ $y=x$ $(a)$ $y=x+2$
$(b)$ $x+y=0$ $(b)$ $y=x-2$
$(c)$ $y=2 x$ $(c)$ $y=-x+2$
$(d)$ $2+3 y=7 x$ $(d)$ $x+2 y=6$
From the choices given below, choose the equation whose graphs are given in Fig. $(i)$ and Fig. $(ii)$.
For Fig. $(i)$ For Fig. $(ii)$
$(a)$ $y=x$ $(a)$ $y=x+2$
$(b)$ $x+y=0$ $(b)$ $y=x-2$
$(c)$ $y=2 x$ $(c)$ $y=-x+2$
$(d)$ $2+3 y=7 x$ $(d)$ $x+2 y=6$
For Fig. $(i)$, the correct linear equation is $x+y=0$
$[\because \,\,(-\,1,\,1)$ $\Rightarrow $ $-1+1=0$ and $(1,\,-\,1)$ $ \Rightarrow $ $1+(-\,1)=0]$
For Fig. $(ii)$, the correct linear equation is, $y=-\,x+2$
$[\because \,\,(-\,1,\,3) $ $\Rightarrow $ $3=-(-\,1)+2 \Rightarrow 3=3$ and $(0,\,2) \Rightarrow 2=-(0)+2 \Rightarrow 2=2]$
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$F =\left(\frac{9}{5}\right) C +32$
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$(ii)$ 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.
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.