Equation of a line (Point/Slope)

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Find the equation of the line with slope $m=-1$ and passsing through the point $P\left(\frac{3}{7},-\frac{7}{8}\right).$

**Answer**

The equation of the line with slope $m$ and passing through the point $(x_0,y_0)$ is given by $$y-y_0=m(x-x_0)$$

Here $m=-1$, $x_0=\frac{3}{7}$ and $y_0=-\frac{7}{8}$

Substituting these values in the equation, we get

$ y-(-\frac{7}{8})=-(x-(\frac{3}{7}))$

or, $ y+\frac{7}{8}=-(x-\frac{3}{7})$

or, $y+\frac{7}{8}=-x+\frac{3}{7}$

or, $y=-x-\frac{25}{56}$