Equation of a line (Point/Point)

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Find the equation of the line passsing through the Points $P\left(-10,-11\right)$ and $Q\left(-11,0\right)$.

**Answer**

The slope of the line joining the points $P\left(-10,-11\right)$ and $Q\left(-11,0\right)$ is given by $m=\frac{0+11}{-11+10}=-11$

The equation of the line is$$y - y_0 = m\left(x - x_0\right)$$

or, $$y= mx + y_0-mx_0$$

Substituting the values of $m$, $x_0$ and $y_0$, we get

$y =-11x-11-\left(-11\right)\left(-10\right)$

or, $y =-11x-11-110$

or, $y=-11x-121$