Answer: [tex]y = 3x - 10[/tex]
Step-by-step explanation:
The formula for finding equation of line when a point and a 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)[/tex] = [tex]3(x-2)[/tex]
[tex]y +4 = 3x - 6[/tex]
[tex]y = 3x - 6 - 4[/tex]
[tex]y = 3x - 10[/tex]