Analytic geometry - practice problems

Also known as coordinate geometry or Cartesian geometry.

Number of problems found: 180

An odd function
If the points (5, -6) and (-3, 4) lie on the graph of an odd function f, then what are the values of f(-5) and f(3)? Is it possible to know this without seeing the graph of f?
Polygon 3
Polygon ABCD is dilated, rotated, and translated to form polygon QWER. The endpoints A, B are at (0, -7) and (8, 8), and the endpoints QW are at (6, -6) and (2, 1.5). What is the scale factor of the dilation?
Intersection 74914
Find the perimeter of triangle ABC, where point A is the beginning of the coordinate system, and point B is the intersection of the graph of the linear function f: y = - 3/4• x + 3 with the x-axis, and C is the intersection of the graph of this function w
Equal distance
Find the equation for all the points (x, y,) that are equal in distance from the points A(5,-2) and B(-2,10)?
The slope
Find the slope of the line that passes through the following two points: (-3, 16) and (-5, 30) Give your answer as a number, rounded to the nearest tenth, if necessary.
Which 12
Which table shows a proportional relationship between x and y? A) x 3 9 10 15 y 1 3 4 5 B) x 2 3 5 6 y 3 4 7 9 C) x 1 5 8 10 y 15 75 120 150 D) x 4 6 8 10 y 6 8 10 12
A Ferris wheel
A Ferris whee with a diameter of 100 feet makes 5 revolutions every 8 minutes. The base of the wheel is 4 feet above the ground. Your friend gets on at 3PM sharp. a) wrote an equation to express the height in feet of your friend at any given time in secon
Divide line segment
Find the point P on line segment AB, such that |AP| = r |AB| . Coordinates of endpoints: A = (−2, 0, 1), B = (10, 8, 5), ratio r = 1/4.
A man 7
A man wandering in the desert walks 3.8 miles in the direction S 44° W. He then turns and walks 2.2 miles in the direction N 55° W. At that time, how far is he from his starting point? (Round your answer to two decimal places.)
A circle 2
A circle is centered at the point (-7, -1) and passes through the point (8, 7). The radius of the circle is r units. The point (-15, y) lies on this circle. What is r and y (or y1, y2)?
Calculate 66814
Calculate the area and perimeter of the right triangle ABC, if A [5.5; -2.5] B [-3; 5] C [-3; -2.5]
Coordinates 66474
Draw a trapezoid in the coordinate system with bases 4cm long, 2cm long, and 3cm high. Please write down the coordinates of its vertices.
Coordinates 65224
The line PQ is determined by points with coordinates P = [- 2; 4] and Q = [4; 0]. What are the coordinates of the center S of the line segment PQ?
Intersections 62784
A quadratic function is given: y = -x² + 2x + 3 a) determine the intersections with the x, y axis and peak V b) draw a graph and describe c) for which x applies f (x) = 3
Three
Three points are given: A (-3, 1), B (2, -4), C (3, 3) a) Find the perimeter of triangle ABC. b) Decide what type of triangle the triangle ABC is. c) Find the length of the inscribed circle
Lengths of medians from coordinates
There is a triangle ABC: A [-6.6; 1.2], B [3.4; -5.6], C [2.8; 4.2]. Calculate the lengths of its medians.
What is 19
What is the equation of the line whose x - intercept is - 3 and y - intercept is -4? Find coefficients A, B, C in normal line equation: Ax + By = C
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)?

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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.