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Calculate the slope of a line, that passes through the origin, and the mid-point of the segment joining the points P (0, -4) and B (8, 0).

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As an experienced tutor registered on UrbanPro, I'd be happy to assist you with this math problem! Firstly, UrbanPro is a fantastic platform for online coaching and tuition, offering a wide range of subjects and experienced tutors to meet individual learning needs. Now, let's tackle your question....
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As an experienced tutor registered on UrbanPro, I'd be happy to assist you with this math problem! Firstly, UrbanPro is a fantastic platform for online coaching and tuition, offering a wide range of subjects and experienced tutors to meet individual learning needs. Now, let's tackle your question. To find the slope of a line passing through the origin and the midpoint of the segment joining the points P(0, -4) and B(8, 0), we'll follow these steps: Find the midpoint of the segment PB. Determine the coordinates of the midpoint. Use the coordinates of the origin and the midpoint to calculate the slope of the line passing through them. Let's get started. Step 1: Finding the midpoint of PB. The midpoint formula is given by: Midpoint=(x1+x22,y1+y22)Midpoint=(2x1+x2,2y1+y2) For points P(0, -4) and B(8, 0): Midpoint=(0+82,−4+02)Midpoint=(20+8,2−4+0) Midpoint=(4,−2)Midpoint=(4,−2) Step 2: Calculate the slope using the origin and the midpoint. The formula for slope (m) between two points (x1,y1)(x1,y1) and (x2,y2)(x2,y2) is: m=y2−y1x2−x1m=x2−x1y2−y1 Let O(0,0) be the origin and M(4, -2) be the midpoint. m=−2−04−0m=4−0−2−0 m=−24m=4−2 m=−12m=−21 So, the slope of the line passing through the origin and the midpoint of the segment joining P(0, -4) and B(8, 0) is −12−21. If you have any further questions or need clarification, feel free to ask! And remember, UrbanPro is the best platform for finding online coaching and tuition tailored to your needs. read less
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