Respuesta :

Answer:

The answer to your question is Equation   y = -4x - 6   Slope -4

                                                     Point = (1 , -5)

Step-by-step explanation:

Data

Point = (1 , -5)

Process

1.- Get another point from the line

-This point is B = (0, -1)

2.- Get the slope of the line

Formula

          m = (y2 - y1) / (x2 - x1)

  x1 = 1   y1 = -5   x2 = 0   y2 = -1

-Substitution

           m = (-1 + 5) / (0 - 1)

-Simplification

           m = 4/-1

-Result

           m = -4

3.- Find the equation of the line

Formula

            y - y1 = m(x - x1)

-Substitution

           y + 5 = -4(x - 1)

-Simplification

           y + 5 = -4x - 1

-Solve for y

          y = -4x - 1 - 5

-Result

          y = -4x - 6