Final answer:
The linear function 2y + x = 18, when rearranged into slope-intercept form, is y = -0.5x + 9, which signifies a slope of -0.5 and a y-intercept of 9. None of the options provided exactly match these values.
Step-by-step explanation:
To find the slope and y-intercept of the linear function 2y + x = 18, let's first manipulate it into slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
First, subtract x from both sides to isolate the y variable terms on one side:
2y = -x + 18
Now, divide through by 2 to solve for y:
y = -0.5x + 9
This is now in slope-intercept form, with -0.5 as the slope (m) and 9 as the y-intercept (b).
Therefore, the linear function has a slope of -0.5 and a y-intercept of 9, meaning that option (3) would be correct if the slope were specified, but since it is not, none of the answer choices provided are correct.