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]