Respuesta :

Answer:

The point-slope form of the equation is:

  • [tex]y-\left(-5\right)=-3\left(x-3\right)[/tex]

Step-by-step explanation:

Given

  • point (3, -5)
  • slope = -3

We know the point-slope form of the line equation is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope

substituting the values m = -3 and the point (3, -5)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-5\right)=-3\left(x-3\right)[/tex]

Thus, the point-slope form of the equation is:

  • [tex]y-\left(-5\right)=-3\left(x-3\right)[/tex]