# Analytic geometry - math word problems

Also known as coordinate geometry or Cartesian geometry.

#### Number of problems found: 126

• Find parameters Find parameters of the circle in the plane - coordinates of center and radius: ?
• Slope Calculate the slope of a line that intersects points (-84,41) and (-76,-32).
• Ascend vs. descent Which function is growing? a) y = 2-x b) y = 20 c) y = (x + 2). (-5) d) y = x-2
• V - slope The slope of the line whose equation is -3x -9 = 0 is
• 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
• Slope What is the slope of a line with an inclination 6.06 rad?
• Circle From the equation of a circle: ? Calculate the coordinates of the center of the circle S[x0, y0] and radius of the circle r.
• Parabola Find the equation of a parabola that contains the points at A[6; -5], B[14; 9], C[23; 6]. (use y = ax2+bx+c)
• Angle A straight line p given by the equation ?. Calculate the size of angle in degrees between line p and y-axis.
• Distance between 2 points Find the distance between the points (7, -9), (-1, -9)
• Circle Write the equation of a circle that passes through the point [0,6] and touch the X-axis point [5,0]: ?
• Vertices of RT Show that the points P1 (5,0), P2 (2,1) & P3 (4,7) are the vertices of a right triangle.
• Square side Calculate length of side square ABCD with vertex A[0, 0] if diagonal BD lies on line p: -4x -5 =0.
• Coordinates of square vertices The ABCD square has the center S [−3, −2] and the vertex A [1, −3]. Find the coordinates of the other vertices of the square.
• Angle between vectors Find the angle between the given vectors to the nearest tenth of a degree. u = (-22, 11) and v = (16, 20)
• Triangle IRT In isosceles right triangle ABC with right angle at vertex C is coordinates: A (-1, 2); C (-5, -2) Calculate the length of segment AB.
• 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.
• Find the 13 Find the equation of the circle inscribed in the rhombus ABCD where A[1, -2], B[8, -3] and C[9, 4].
• Find the 3 Find the distance and midpoint between A(1,2) and B(5,5).
• Four sides of trapezoid Trapezoid is given by length of four sides: 40.5 42.5 52.8 35.0. Calculate its area.

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