Often we are interested in a point between two given points A and B which is not exactly at the midpoint. For example if A = 5,2] and B = [1,6] , how can we find the point N which lies on the line segment AB, and is one quarter of the way from A to B? This is the same as asking for the midpoint between A and the midpoint M = [3, 4] of the line segment AB, namely ON = }0Å+}OM. We could also write 1 ON = OÁ+ %3| 3 What is the point P, which is of the way from A to B in this case? It is given by OP +2OB ОВ + + [2,5] = yo})

Q: Plot the points M(-4,-8), N(3,- 8), and P(1,- 2). Draw MN, NP and MP. (MN means the line segment…

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Q: 30) The coordinates of the endpoints of line segment CD are C(–4, 1) and D(3, 4). Reflect the line…

A: x-axis is also known as the principal axis . The y-coordinate of the point that lies on x-axis is 0.

Q: from one point to another, or [x₁ − x₂] + |y₁ - y₂ for points (x₁, y₁) & (x2, Y2). Plot A(2, 5). A)…

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Q: Let K = (5,12), L = (14,0), and M= (0,0). The line x + 2y = 14 bisects angle MLK. Find equations for…

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Q: Find the coordinates of the point which divides the line segment connecting (-1,4) and (2,-3) into…

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Q: The point R (a, -1) is the midpoint of the line segment joining the points P (-2, b) and Q (-7, 4)…

A: Here midpoint of two point joining a line  given and we have to find a,b

Q: Given the point AB and CD that pass through the points A(3,-5), B(2,-1), C(0,3) and D(1,7). Is this…

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Q: For each of the following pairs of points, find the length of AB. a. Α(0,9 ) , B(0,3) b. А(0,15),…

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Q: O(0,0) and A(4,4) are two given points and B is any point. Find the equation to the locus of the…

A: Given The O(0,0)  and  A(4,4) are any two points and  B is any points . OB and AB are perpendicular…

Q: -6 -3 From the diagram above; -2 -1 4 2 0 -2 -8 1 2 3 ii. Identify two clear and distinct points on…

A: I have given the answer in the next step. Hope you understand that

Q: Given three points, P(4,8), Q(2,6) and R(1,1). If M is the midpoint of PQ, determine the (i)…

A: We have to find the coordinates of M  and line passing through point M and perpendicular to the line…

Q: Given points A = (8,2) and B = (8, 18), find the equation of the perpendicular bisector of the line…

A: Given that A=(8,2) and B=(8,18) To find The equation of the perpendicular bisector of the line…

Q: Three or more points are collinear when they all lie on the same line. Use the steps below to…

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Q: Given points A= (2, 2) and B=(2, 14), find the equation of the perpendicular bisector of the line…

A: y= 8.0 is the answer. See the attachment

Q: Siven points A = (10,2) and B = (10, 18), find the equation of the perpendicular bisector of the…

A: Correct option :-   y = 10

Q: A new line is formed from a point (2,−3) to a line y=−4x−12. What is the perpendicular distance from…

A: The objective of this question is to find the perpendicular distance from a given point to a given…

Q: Q2 P. y=f(x)

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Q: if the endpoints of a line segment are (14, -8) and (4,12) what would the midpoint be? use the…

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Q: We know that to plot a point on the plane, we need the two coordinates x and y. So (xi, yi) stands…

A: For drawing a line we must need 2 points, without 2 point we can't determine a specific line.

Q: Find the equation of the circle circumscribed by the triangle ABC, where A=[-1,-1], B=[-5,2],…

A: Triangle ABC with vertices A-1, -1, B-5, 2 & C1, 10. Now let Ph, k be the center of the circle.…