Since we know the slope of the line and a point that passes through it, we can use the point-slope form formula to determine the equation of the line.
Point slope form formula:
[tex]\text{ y - (y-coordinate of point) = slope(x - x-coordinate of point)}[/tex]
We are given the following:
[tex]\bullet \ \ \text{Slope of line = -3}[/tex]
[tex]\bullet \ \ \text{Line passes through (2, 4)} \implies \text{x-coordinate of point = 2; y-coordinate of point = 4}[/tex]
When we substitute the values into the formula, we get;
[tex]\implies y - (4) = -3(x - 2)}[/tex]
[tex]\implies \boxed{y - 4 = -3(x - 2) \ \ (\text{Option B})}[/tex]
Therefore, option B is correct.
