# Coefficient 81704

In the equation of the line p: ax-2y+1=0, determine the coefficient a so that the line p:

a) it formed an angle of 120° with the positive direction of the x-axis,

b) passed through point A[3,-2],

c) was parallel to the x-axis,

d) had a direction of k = 4.

a) it formed an angle of 120° with the positive direction of the x-axis,

b) passed through point A[3,-2],

c) was parallel to the x-axis,

d) had a direction of k = 4.

### Correct answer:

Tips for related online calculators

The 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.

Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

See also our trigonometric triangle calculator.

Try conversion angle units angle degrees, minutes, seconds, radians, grads.

Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

See also our trigonometric triangle calculator.

Try conversion angle units angle degrees, minutes, seconds, radians, grads.

#### You need to know the following knowledge to solve this word math problem:

**geometry**- analytic geometry
- line
**algebra**- equation
- expression of a variable from the formula
**planimetrics**- triangle
**goniometry and trigonometry**- tangent

#### Units of physical quantities:

#### Grade of the word problem:

We encourage you to watch this tutorial video on this math problem: video1

## Related math problems and questions:

- Line

Write an equation of a line parallel to To 9x + 3y = 8 That Passes Through The Point (-1, -4). Write in form ax+by=c. - Geometry: 78014

Good day, Even though it is a trivial task, I don’t know how to deal with it. This is analytic geometry: Find all integers a, b, and c such that the line given by the equation ax+by=c passes through the points [4,3] and [−2,1]. Thank you for your answer - Circle

Write the equation of a circle that passes through the point [0,6] and touches the X-axis point [5,0]: (x-x_S)²+(y-y_S)²=r² - 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 slope form gives the line: y = 3x - 1 C) the line is given by two points: A [3; -3], B [-5; 2] D) the lin - A Cartesian framework

1. 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 - Find the

Find the image A' of point A [1,2] in axial symmetry with the axis p: x = -1 + 3t, y = -2 + t (t = are real number) - X-coordinate 81737

In triangle ABC, determine the coordinates of point B if you know that points A and B lie on the line 3x-y-5=0, points A and C lie on line 2x+3y+4=0, point C lies on the x-coordinate axis, and the angle at vertex C is right. - Parabola

Find the equation of a parabola that contains the points at A[10; -5], B[18; -7], C[20; 0]. (use y = ax²+bx+c) - Calculate 8

Calculate the coordinates of point B axially symmetrical with point A[-1, -3] along a straight line p : x + y - 2 = 0. - 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. - Quadratic function

It is given a quadratic function y = -4x²+5x+c with an unknown coefficient c. Determine the smallest integer c for which the graph of f intersects the x-axis at two different points. - Line

Line p passes through A[5, -3] and has a direction vector v=(2, 3). Is point B[3, -6] on the line p? - Direction vector

The line p is given by the point P [- 0,5; 1] and the direction vector s = (1,5; - 3) determines: A) value of parameter t for points X [- 1,5; 3], Y [1; - 2] lines p B) whether the points R [0,5; - 1], S [1,5; 3] lies on the line p C) parametric equations - On line

On line p: x = 4 + t, y = 3 + 2t, t is R, find point C, which has the same distance from points A [1,2] and B [-1,0]. - Find the 10

Find the value of t if 2tx+5y-6=0 and 5x-4y+8=0 are perpendicular and parallel. What angle does each line make with the x-axis, and find the angle between the lines? - Cone

If the segment of the line y = -3x +4 that lies in the first quadrant is rotated about the y-axis, a cone is formed. What is the volume of the cone? - Three points 4

The line passed through three points - see table: x y -6 4 -4 3 -2 2 Write line equation in y=mx+b form.