Equation of a line (Point/Point)

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Find the equation of the line passsing through the Points $P\left(0,5\right)$ and $Q\left(-7,-5\right)$.

**Answer**

The slope of the line joining the points $P\left(0,5\right)$ and $Q\left(-7,-5\right)$ is given by $m=\frac{-5-5}{-7}=\frac{10}{7}$

The $y-intercept = 5$.

So, the equation of the line is

$y=\frac{10}{7}x+5$