# Find all the family of line that pass through point (0, –1)?

Find all the family of line that pass through point (0, –1)?
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Carson Mueller
Assuming the question is referencing only straight line type graphs (equation).
There would my an infinite number of equations because there is an infinite count of different slopes.
Let m be the gradient (slope)
Let the given point be point 1 ${P}_{1}\to \left({x}_{1},{y}_{1}\right)$
Let any point i be ${P}_{i}\to \left({x}_{i},{y}_{i}\right)$
$m=\frac{{y}_{i}-{y}_{1}}{{x}_{i}-{x}_{1}}$
$m=\frac{{y}_{i}-\left(-1\right)}{{x}_{i}-0}\to \frac{y+1}{x-0}$