Write each of the following equations in the form $ax + by + c = 0$ and indicate the values of $a$,$b$ and $c$ in each case:
$(i)$ $2x + 3y = 4.37$
$(ii)$ $x - 4 = \sqrt{3}y$
$(iii)$ $4 = 5x - 3y$
$(iv)$ $2x = y$
$(i)$ $2x + 3y = 4.37$
$(ii)$ $x - 4 = \sqrt{3}y$
$(iii)$ $4 = 5x - 3y$
$(iv)$ $2x = y$
(N/A) $(i)$ The equation $2x + 3y = 4.37$ can be written as $2x + 3y - 4.37 = 0$.
Comparing this with $ax + by + c = 0$,we get $a = 2$,$b = 3$,and $c = -4.37$.
$(ii)$ The equation $x - 4 = \sqrt{3}y$ can be written as $x - \sqrt{3}y - 4 = 0$.
Comparing this with $ax + by + c = 0$,we get $a = 1$,$b = -\sqrt{3}$,and $c = -4$.
$(iii)$ The equation $4 = 5x - 3y$ can be written as $5x - 3y - 4 = 0$.
Comparing this with $ax + by + c = 0$,we get $a = 5$,$b = -3$,and $c = -4$.
$(iv)$ The equation $2x = y$ can be written as $2x - y + 0 = 0$.
Comparing this with $ax + by + c = 0$,we get $a = 2$,$b = -1$,and $c = 0$.
Comparing this with $ax + by + c = 0$,we get $a = 2$,$b = 3$,and $c = -4.37$.
$(ii)$ The equation $x - 4 = \sqrt{3}y$ can be written as $x - \sqrt{3}y - 4 = 0$.
Comparing this with $ax + by + c = 0$,we get $a = 1$,$b = -\sqrt{3}$,and $c = -4$.
$(iii)$ The equation $4 = 5x - 3y$ can be written as $5x - 3y - 4 = 0$.
Comparing this with $ax + by + c = 0$,we get $a = 5$,$b = -3$,and $c = -4$.
$(iv)$ The equation $2x = y$ can be written as $2x - y + 0 = 0$.
Comparing this with $ax + by + c = 0$,we get $a = 2$,$b = -1$,and $c = 0$.
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