Respuesta :

Answer: y = -3x + 10

Step-by-step explanation:

Using the formula for finding the equation of line ;

y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )

[tex]x_{1}[/tex] = 4

[tex]y_{1}[/tex]  = -2

m = -3

Substituting into the formula , we have

y - (-2) = - 3 ( x - 4 )

y + 2 = -3x + 12

writing the equation of the line in slope - intercept form , this means that we must make y the subject of the formula , that is

y = -3x + 12 - 2

y = -3x + 10