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: 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: Find the x-intercept and the y-intercept of the line b 14 3. 2. -6-5 - 43456 in.

A: x- intercept is the point at which line crosses x-axis . y- intercept is the point at which line…

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

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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: 3. Write the equation of a line that is perpendicular and passes through the midpoint of AB with…

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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: (-1,4) 2.1) (2,1) (a.-2) (4,-3)

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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: A. Find the vertex for y = x² + 2x- 3. A. (0,-4) В. (1,-2) С. (-1,-4) D. (-2,-3) A

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Q: 18. Which two lines are parallel? Hint: write all equations in slope-intercept form I. 5y = 2x – 5…

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Q: Find the midpoint of the line segment joining the points P, and P2- P1 =(-2, 4); P2 = (7, 0) The…

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Q: O Find an equation desing the line Segment from P(3,-1,4) to Pi(o, 5,2)

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Q: Find the intersection point (if any) of the lines ri (t) = (9,33,–15) + t(-3,-4,2) and r2(s) = (-90,…

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Q: 10. If M is the midpoint of the line AB where A has coordinates (- 6,5) and B has coordinates (4,3).…

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Q: Which one of the following points does NOT lie on the line 5y + 8x - 4 = 0?

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Q: Let A be the point with coordinates (-2, -1, -1) and let B be the point with coordinates (2, 0, 0).…

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Q: Where a and b are real numbers, (a + b, a – 2b) is the point of intersection for the lines 3x 2x -…

A: We have, point a+b,a-2b is the point of intersection of lines 3x-2y=19 and 2x-5y=9. Therefore, such…

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: 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: Given the two points P1 (2,-3,4) and P2(-1,5,-2) on a line, find the line segment joining those…

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Q: Which one of the following points lies on the line r=(−6,−4,−4)+t(−4,−6,−6)?   a   (−2,−10,2) b…

A: Topic - Lines We are given an equation of line as r= (−6,−4,−4)+t(−4,−6,−6)

Q: 10. Plot the points (-1, 3) and (4, 3). What would be the remaining two points of a rectangle whose…

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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.