3 Q D -5 -4 -3 -2 1 -1 -1 3 4 C -3 -5 Consider the line segment PQ with endpoints P(-3, -4) and Q(2, 1). Which point divides the line segment directed from P to Q in the ratio of 2:3? A) (-2, -3) B) (-1, –2) C) (0,-1) D) (0, 1)

Q: 4. Determine the slope-intercept form of the line from the two points on the line. a) (3, – 1), (-6,…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Find an equation for the line in the form ax + by = c, where a, b, and c are integers with no factor…

A:

Q: 28. In the standard (x, y) coordinate plane, the point (2,-6) is the midpoint of the line segment…

A: Given,  In the standard x,y coordinate planeThe point  2,-6  is the midpoint of the line segmentwith…

Q: QR is located at Q(-5, -8) and R(-1, 3). Which pair of points would form a segment congruent to QR ?…

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Q: b) Find the equation of the line passing through the points P1 ( 3, 7, 9) and P, (8, 10,12).

A: Given that: Two points are: P1(3, 7, 9) and P2(8,10,12)

Q: Find the coordinates of the poin divides the line segments joining the points (6, (-4, 5) in the…

A:

Q: Do the points (0.5, 1), (1, 1.2), (2, 2) lie on a line?

A: Three points will lie on same line if slope of any two point is same as other two points, taken two…

Q: r1(t) = (3, –6, 2) +t (-4, 2, –4) r2(t) = (-3, 3, – 10) + t (2, 1, 0) Find the point of…

A: Lines r1 and r2 can be rewritten as follows:

Q: 14 Find the midpoint of the line segment with the given endpoints shown: Q(-8,-3):T(-6, -2)…

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Q: C. Find the midpoint of the line segment determined by the following points: 1. (4,-2) and (6,0) 2.…

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Q: find the distance from the point to the line. (3, -1, 4); x = 4 - t, y = 3 + 2t, z = -5 + 3t

A: Given Data The points is 3,-1,4. x=4-t. y=3+2t. z=-5+3t.   The line is passes through the points of…

Q: Find x and y if (2, 5) is the midpoint of points (x, y) and (-5, 6). b. Find the point (0, y) that…

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Q: If P = (-1,4) and Q = (4, –1), find the coordinates of PQ PQ =

A:

Q: 1) Find the length of the line joining the following pairs of points: a. (1, 2), (4, 6) b. (3, 1),…

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Q: 6. A line segment has endpoints at 4(-1, -8) and B(5, -4). Which of the following are the…

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Q: The value of p, so that the lines 17-14 = 3 2p 22 and 2-5 72 3p 1 = intersect at right angle, is…

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Q: 4. Determine the slope-intercept form the two points on the line. a) (3, – 1), (-6, - 4) b) (4,1),…

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Q: Are the points (−2, 1), (1, 7), and (4, 14) on the same line? Why

A: We are given three points to check if they are linear or not. Three or more points are said to be…

Q: Find the point of intersection of the two lines l1 : 7 Intersection point:

A: Introduction: The point of intersection is the intersection of two lines or curves. A point is the…

Q: (3,-6) is an endpoint coordinate on a line segment, where the midpoint is given to us as (1, -2).…

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Q: Find the distance the point P(0, 2, 8) is to the line through the two points Q(1,-1,4), and R(-1,-4,…

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Q: Plot the points A(-3, 1), B(3, 1), C(-2, –3), D(0, 3), and E(2, –3) on a coordinate plane. Draw the…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.