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 $P\left(6,-\frac{1}{4}\right).$

**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 $m=1$, $x_0=6$ and $y_0=-\frac{1}{4}$

Substituting these values in the equation, we get

$ y-(-\frac{1}{4})=(x-(6))$

or, $ y+\frac{1}{4}=(x-6)$

or, $y+\frac{1}{4}=x-6$

or, $y=x-\frac{25}{4}$