# Analytic geometry - math problems

Also known as coordinate geometry or Cartesian geometry.

#### Number of problems found: 140

• Using
Using the point-slope equation, find the equation containing (-7, 3) and slope m = -4
• The coordinates
The coordinates (5, 2) and (-6, 2) are vertices of a hexagon. Explain how to find the length of the segment formed by these endpoints. How long is the segment?
• What is 10
What is this The area of a parallelogram that has vertices with the coordinates (0, 0), (4, 0),(5, 3), and (1, 3)?
• A circle
A circle relation is given to be x2 + y2 =16. What is the radius of the circle?
• Polygon - area coordinates
Find the perimeter and the area of the polygon with the given vertices. T (2,7), U (2,9), V (5,9), W (5,7)
Which point is located in Quadrant IV? A coordinate plane. A(-8, 6) B(-8, -6) C(8, -6) D(8, 6)
• Luiza
Luiza delivers newspapers in her neighborhood. If you plot the points (-1, 1), (4, 1), (4, -2) and (-1, -2), you will create a representation of the route she takes, in miles. How many miles does her route cover?
• Construct 8
Construct an analytical geometry problem where it is asked to find the vertices of a triangle ABC: the vertices of this triangle must be the points A (1,7) B (-5,1) C (5, -11). the said problem should be used the concepts of: distance from a point to a li
• A Cartesian framework
1. In a Cartesian framework, the functions f and g we know that: the function (f) is defined by f (x) = 2x ^ 2, the function (g) is defined by g (x) = x + 3, the point (O) is the origin of the reference, point (C) is the point of intersection of the graph
• CoG center
Find the position of the center of gravity of a system of four mass points having masses, m1, m2 = 2 m1, m3 = 3 m1, and m4 = 4 m1, if they lie at the vertices of an isosceles tetrahedron. (in all cases, between adjacent material points, the distance
On a graph, Point Y is located at (4, -2). Point Z is located 5 units to the left of Point Y. In which quadrant is Point Z located?
• Tangens parallelogram
If ∠BAD between the sides AB and AD of the parallelogram is θ, what is tan θ? See diagram: A=(7,1) B=(5,-2) C=(12,1) D=(14,4)
• Parametric equation
Point A [6; -2]. Point B = [-3; 1] Write the parametric equation of the line BA so that t belongs to the closed interval 0; 3
• Perpendicular projection
Determine the distance of a point B[1, -3] from the perpendicular projection of a point A[3, -2] on a straight line 2 x + y + 1 = 0.
• Vertex points
Given the following points of a triangle: P(-12,6), Q(4,0), R(-8,-6). Graph the triangle. Find the triangle area.
• Place vector
Place the vector AB, if A (3, -1), B (5,3) in the point C (1,3) so that AB = CO
• Ascend vs. descent
Which function is growing? a) y = 2-x b) y = 20 c) y = (x + 2). (-5) d) y = x-2
• General line equations
In all examples, write the GENERAL EQUATION OF a line that is given in some way. A) the line is given parametrically: x = - 4 + 2p, y = 2 - 3p B) the line is given by the slope form: y = 3x - 1 C) the line is given by two points: A [3; -3], B [-5; 2] D) t
• Find the 15
Find the tangent line of the ellipse 9 x2 + 16 y2 = 144 that has the slope k = -1
• Tangents to ellipse
Find the magnitude of the angle at which the ellipse x2 + 5 y2 = 5 is visible from the point P[5, 1].

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Line slope calculator is helpful for basic calculations in analytic geometry. The coordinates of two points in the plane calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of the segment, intersections of the coordinate axes, etc. See also more information on Wikipedia.