1. The first question asks: Which of the following equations is shown in slope-intercept form? 2. The slope-intercept form of a line is given by the formula: $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. Let's analyze each option: - a. $y = 3x - 4$ matches the form $y = mx + b$ with $m=3$ and $b=-4$. - b. $x = 2y + 3$ is not in slope-intercept form because $y$ is not isolated. - c. $2x + 5y = 9$ is in standard form, not slope-intercept. - d. $5y - 2x = 12$ is also in standard form. 4. Therefore, the equation in slope-intercept form is option a: $y = 3x - 4$. Final answer: a. $y = 3x - 4$