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 $P\left(0,\frac{5}{4}\right).$

**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 $m=-1$, $x_0=0$ and $y_0=\frac{5}{4}$

Substituting these values in the equation, we get

$ y-(\frac{5}{4})=-(x-(0))$

or, $ y-\frac{5}{4}=-(x)$

or, $y-\frac{5}{4}=-x$

or, $y=-x+\frac{5}{4}$