The image depicts a geometric problem involving a circle with points labeled A, B, C, D, and E, and a central point O. Some parts of the figure are labeled, such as AE as the diameter and OC as a radius measuring 2.5 cm. To give you a precise answer, I need to know the specific question you are looking to solve for this diagram. Could you please provide the question associated with this geometric figure?
The task is to find the equations of lines that are: (a) Parallel to the given line (b) Perpendicular to the given line Both lines must pass through a given point. The point in this instance is (-7, -2), and the given line is x = 1. (a) A line parallel to x = 1 is also a vertical line, because x = 1 is vertical. All vertical lines have equations of the form x = c, where c is a constant. Since the line we're trying to find must pass through the point (-7, -2), the value of c must be -7. Therefore, the equation of the line parallel to x = 1 and passing through (-7, -2) is: x = -7 (b) A line perpendicular to a vertical line is a horizontal line. All horizontal lines have equations of the form y = k, where k is a constant. Since the line we're trying to find must pass through the point (-7, -2), the value of k must be -2. Therefore, the equation of the line perpendicular to x = 1 and passing through (-7, -2) is: y = -2 So the answers are: (a) x = -7 (b) y = -2
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