Final answer:
The equation 2y + 4 = 0, when solved for y to obtain y = -2, indicates a slope of 0 and a y-intercept of -2. This solution is not included in the provided options, suggesting an error in the question as the typical slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Step-by-step explanation:
To determine the slope and y-intercept of the line represented by the linear equation 2y + 4 = 0, we first need to isolate y on one side of the equation to get it into the slope-intercept form y = mx + b. The equation can be simplified as follows:
- Subtract 4 from both sides of the equation: 2y = -4.
- Divide both sides by 2 to solve for y: y = -2.
This equation is now in the form y = mx + b, where m is the slope and b is the y-intercept. Since there is no x term in the equation, the slope m is 0, and the constant term, which is -2, represents the y-intercept b. Thus, the slope is 0, and the y-intercept is -2, which is not one of the provided options and suggests there may be an error in the question. According to the slope-intercept form, the coefficient of x is the slope, and the constant number is the y-intercept.