$\begin{array}{1 1}(A)\;m = \large\frac{1}{7} ; c = 0 \\(B)\; m = -\large\frac{1}{7}; c = 0 \\(C)\; m = 7 ; c = 0 \\(D)\;m = -7 ; c = 0 \end{array} $

- Slope intercept form of an equation is $y=mx+c$, where $m$ is the slope and $c$ is the $y$ - intercept.

Given equation is $x+7y=0$

This can be written as

$\qquad 7y=-x$

$ \quad \Rightarrow y = -\large\frac{1}{7}$$x+0$

This is of the form $y=mx+c$

Here $c=0$ and $m = -\large\frac{1}{7}$

Hence the slope is $-\large\frac{1}{7}$ and $y$ intercept is 0.

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