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

Answer 1

Savannah Anderson

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

#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)#

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Answer 2

Genesis Allen

All the lines passing through the point (0, -1) belong to the family of lines with the equation y = mx - 1, where "m" represents the slope of the line.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.