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 $P\left(\frac{4}{3},\frac{1}{5}\right).$

**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 $m=1$, $x_0=\frac{4}{3}$ and $y_0=\frac{1}{5}$

Substituting these values in the equation, we get

$ y-\frac{1}{5}=(x-\frac{4}{3})$

or, $y-\frac{1}{5}=x-\frac{4}{3}$

or, $y=x-\frac{17}{15}$