Respuesta :

renknee

Answer:

y + 5 = -3(x - 4)

Step-by-step explanation:

1. The point-slope form of any linear equation is [tex]y - y_1 = m(x-x_1)[/tex].

  • y_1 = y-coordinate of first point
  • m = slope
  • x_1 = x-coordinate of first point

2. Since we have our slope and our first point, let's plug the values into the equation:

  • [tex]y - (-5) = -3(x-4)[/tex]
  • [tex]y + 5 = -3(x-4)[/tex]

Therefore, the point-slope form of the equation of the line is y + 5 = -3(x - 4).

Hello!

Point-Slope form:

y-y1=m(x-x1)

y-(-5)=-3(x-4)

y+5=-3(x-4)

Hence, this is the required equation.

Hope it helps!

If you have any query, please feel free to ask! :)

~MagicalNature