Respuesta :

Answer:

  • y -3 = -4(x -0)   or   y -3 = -4x
  • y = -4x +3

Step-by-step explanation:

The point-slope form of the equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

Fill in the given values:

  y -3 = -4(x -0) . . . . point-slope form of the equation of the line

__

To get this to slope-intercept form, you want to rearrange it to ...

  y = mx + b

Eliminating parentheses get you ...

  y -3 = -4x

Adding 3 puts the equation in the desired form:

  y = -4x +3