1. The problem is to convert the equation $y = -\frac{3}{4}x - 3$ into the form $3x + 4y = 4$ and verify the solution. 2. Start with the given equation: $$y = -\frac{3}{4}x - 3$$ 3. Multiply both sides by 4 to eliminate the fraction: $$4y = 4\left(-\frac{3}{4}x - 3\right)$$ 4. Simplify the right side: $$4y = -3x - 12$$ 5. Add $3x$ to both sides to bring all terms to one side: $$3x + 4y = -12$$ 6. The equation $3x + 4y = 4$ given in the problem does not match the result $3x + 4y = -12$ from the original equation. 7. Therefore, the correct standard form of the given line is: $$3x + 4y = -12$$ 8. To verify, solve $3x + 4y = 4$ for $y$: $$4y = 4 - 3x$$ $$y = \frac{4 - 3x}{4} = 1 - \frac{3}{4}x$$ 9. This is different from the original $y = -\frac{3}{4}x - 3$, confirming the two lines are different. Final answer: The equation equivalent to $y = -\frac{3}{4}x - 3$ in standard form is $$3x + 4y = -12$$, not $3x + 4y = 4$.