The equation parallel to y = -3x + 4 has the same slope which is -3.
Recall that the general equation of a line is represented as :
[tex]y\text{ = mx +c}[/tex]Where m is the slope of the line
Since the line passes through (-3, 4), we can use the slope formula to find the required equation.
The slope formula is:
[tex]\text{slope = }\frac{y_2-y_1}{x_2-x_1}[/tex]Substituting we have:
[tex]\begin{gathered} -3\text{ = }\frac{y-4}{x-(-3)} \\ y-4\text{ = -3(x + 3)} \\ y\text{ = -3x -9 + 4} \\ y\text{ = -3x -5} \end{gathered}[/tex]Answer: Option 4
