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# Analytic Geometry

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1.Points A and B are in the first quadrant, so that OA=OB (where O is the origin). If the slope of line OA is 1 and the slope of line OB is 41, then find the slope of line AB.

2.The lines y=1, y=3, and y=x are drawn along with the point P=(3,0). For certain slopes m, the line P through with slope m will intersect the three given lines so that one of the three points of intersection is the midpoint of the other two points. Find all such values of m.

Enter your values separated by commas. For example, if you think the possible values are 4, 5, and 6, then enter your answer as "4,5,6".

3.

Determine all values of k for which the points A = (1,2), B= (11,2), and C=(k,6) form the vertices of a right-angled triangle.

Jan 5, 2020

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1. The slope of line AB is -1/2.

2. The values of m are -2, 1/3, and 5/3.

3. The values of k are 1, 2, 10, and 11.

Jan 5, 2020
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1.Points A and B are in the first quadrant, so that OA=OB (where O is the origin). If the slope of line OA is 1 and the slope of line OB is 41, then find the slope of line AB.

Jan 6, 2020
edited by Omi67  Jan 6, 2020
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There is a lot of work in that solution Omi.