[tex]y = 3x - 13[/tex]
Step-by-step explanation:
The line will have the same slope as the given line, which is m = 3. Therefore, the equation of the line in its slope-intercept form is
[tex]y = 3x + b[/tex]
Next we need to solve for b by plugging in the coordinates of the given point:
[tex](-4) = 3(3) + b \Rightarrow b = -13[/tex]
So the equation of the line is
[tex]y = 3x - 13[/tex]