Final answer:
The slope of the line represented by the equation -2x + 4y = -5 is ½ and the y-intercept is -⅔. None of the provided options (2, -2, 4, -4) correspond to the correct slope of the line.
Step-by-step explanation:
To find the slope and y-intercept of the given line -2x + 4y = -5, we first need to rearrange this equation into the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
First, add 2x to both sides to get 4y = 2x - 5. Then, divide every term by 4 to isolate y, which gives us y = ½x - ⅔. From this form, we can see that the slope (m) is ½, which means option 1) 2 is incorrect as the slope is not 2. Likewise, options 2) -2, 3) 4, and 4) -4 are also incorrect. The y-intercept (b) can be found as the constant term -⅔, which is the point where the line crosses the y-axis.
Since none of the given options match the correct slope of ½, the exact slope was not listed among the provided choices.