Question

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

Answer 1

`m=(y+1)/(x-0)`

Explanation:

`color(brown)("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->(x_1,y_1)`

Let any point `i` be `P_i->(x_i,y_i)`

`m=(y_i-y_1)/(x_i-x_1)`

`m=(y_i-(-1))/(x_i-0) -> (y+1)/(x-0)`