Respuesta :

Answer: [tex]y = 3x - 10[/tex]

Step-by-step explanation:

The formula for calculating equation of a line when a point and slope is given is :

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

[tex]x_{1}=2[/tex]

[tex]y_{1}=-4[/tex]

[tex]m=3[/tex]

substituting into the formula , we have

[tex]y-(-4) = 3(x-2)[/tex]

[tex]y+4=3x -6[/tex]

subtract 4 from both sides

[tex]y = 3x - 10[/tex]