What are parallel lines in math, or more specifically in geometry? Also, there is our Cross Product Calculator for calculating the product of vectors. Find constant a, r, s.Are you interested in finding the parallel line equations and calculating the distance between two lines? If the answer is yes, check out our free online Parallel Line Calculator.īesides it, would you like to explore more of our math calculators? If yes, we have various calculators, such as Area of a Trapezoid Calculator if you need to calculate the area of a trapezoid. The line p is given by the point P and the direction vector s = (1,5 - 3) determines: A) value of parameter t for points X, Y lines p B) whether the points R, S lies on the line p C) parametric equationsįunction f(x)=a(x-r)(x-s) the graph of the function has x-intercept at (-4, 0) and (2, 0) and passes through the point (-2,-8). In a Cartesian framework, the functions f and g we know that: The function (f) is defined by f (x) = 2x², the function (g) is defined by g (x) = x + 3, the point (O) is the origin of the reference, and point (C) is the point of intersection of the grap (2) Show that one of these points is also the stationary point of C?Ĭalculate the distance of point A from the line p: X = -1 + 3 t Y = 5-4 t Line p has a parametric form of the line equation.ġ. The equation of a curve C is y=2x² -8x+9, and the equation of a line L is x+ y=3 (1) Find the x coordinates of the points of intersection of L and C.
Write the equation of the circle and determine the coordinates of the center and radius. The circle touches two parallel lines p and q, and its center lies on line a, which is the secant of lines p and q. Its center is on the line 3x+2z=0=4x-5y and passes through the points (0,-2,-4) and (2,-1,1). Fill in the number in the box so that the equality applies: (Write the result as a fraction in the base form.) 3 What is the equation of the line whose x-intercept is - 3 and y-intercept are -4? Find coefficients A, B, C in normal line equation: Ax + By = C The given triangle is ABC: A B C Write the line equation that passes through the vertex C parallel to the side AB.ĭetermine the number and in the function y = ax-2 if its graph passes through point A (1, -4).
Find the equation of the line that passes through the centers of these circles. Prove that k1 and k2 are the equations of two circles. Find the parametric equations of the line that: a) It passes through point C and is parallel to the line AB, b) It passes through point C and is perpendicular to line AB. Write the equation of a circle that passes through the point and touches the X-axis point : (x-x_S)²+(y-y_S)²=r² The line passed through three points - see table: x y -6 4 -4 3 -2 2 Write line equation in y=mx+b form. A) the line is given parametrically: x = - 4 + 2p, y = 2 - 3p B) the slope form gives the line: y = 3x - 1 C) the line is given by two points: A, B D) the lin In all examples, write the GENERAL EQUATION OF a line that is given in some way. Arrange your answer in the form y = ax + b, where a, and b are the constants. Find the equation of a line given the point X(8, 1) and slope -2.8.
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