ae39012f Use the following information to answer the next question 10. The slope-point form equation of the line shown could be $y-2=(-0.5)(x+2)$ $y+2=(-0.5)(x-2)$ $y-2=(2)(x+2)$ $y+2=(2)(x-2)$

Step 1 ：The question seems to be incomplete or incorrectly formatted. It mentions a line shown but there is no line or graph provided. Also, the question ID 'ae39012f' doesn't provide any additional information.

Step 2 ：However, if we were to solve for y in each of the provided equations, we could determine the slope and y-intercept of each line, which could potentially help in identifying the correct equation if a line or additional information was provided.

Step 3 ：Let's solve each equation for y to determine the slope and y-intercept.

Step 4 ：For the equation \(y-2=(-0.5)(x+2)\), solving for y gives us \(y = -0.5x + 1\).

Step 5 ：For the equation \(y+2=(-0.5)(x-2)\), solving for y gives us \(y = -0.5x - 1\).

Step 6 ：For the equation \(y-2=(2)(x+2)\), solving for y gives us \(y = 2x + 6\).

Step 7 ：For the equation \(y+2=(2)(x-2)\), solving for y gives us \(y = 2x - 6\).

Step 8 ：The slopes and y-intercepts for each line are: for the first line, slope = -0.5, y-intercept = 1; for the second line, slope = -0.5, y-intercept = -1; for the third line, slope = 2, y-intercept = 6; for the fourth line, slope = 2, y-intercept = -6.

Step 9 ：Without additional information or a graph, it's impossible to determine which of these equations is the correct one.

Step 10 ：\(\boxed{\text{Final Answer: The question is incomplete or incorrectly formatted. The equations in slope-intercept form are } y = -0.5x + 1, y = -0.5x - 1, y = 2x + 6, \text{ and } y = 2x - 6}\)