# Prove

Prove that k1 and k2 are the equations of two circles. Find the equation of the line that passes through the centers of these circles.

k1: x

k2: x

k1: x

^{2}+y^{2}+2x+4y+1=0k2: x

^{2}+y^{2}-8x+6y+9=0**Result**Tips for related online calculators

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.

Are you looking for help with calculating roots of a quadratic equation?

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 right triangle calculator.

See also our trigonometric triangle calculator.

Are you looking for help with calculating roots of a quadratic equation?

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 right triangle calculator.

See also our trigonometric triangle calculator.

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

**geometry**- analytic geometry
- line
**algebra**- quadratic equation
- equation
**planimetrics**- Pythagorean theorem
- right triangle
- circle
- triangle
**basic functions**- reason

#### Themes, topics:

#### Grade of the word problem:

## 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. - 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 - Intersections 3

Find the intersections of the circles x² + y² + 6 x - 10 y + 9 = 0 and x² + y² + 18 x + 4 y + 21 = 0 - Sphere equation

Obtain the equation of a sphere. Its center is on the line 3x+2z=0=4x-5y and passes through the points (0,-2,-4) and (2,-1,1). - Intersection of Q2 with line

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. (ii) show that one of these points is also the - Curve and line

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. (2) Show that one of these points is also the stationary point of C? - Perpendicular 28823

Points A(1,2), B(4,-2) and C(3,-2) are given. 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. - 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]. - 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. - Touch x-axis

Find the equations of circles that pass through points A (-2; 4) and B (0; 2) and touch the x-axis. - Function 3

Function 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). Find constant a, r, s. - Angle between lines

Calculate the angle between these two lines: p: -8x +4y +5 =0 q: 10x +10y -7=0 - 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 - Parabola

Find the equation of a parabola that contains the points at A[6; -5], B[14; 9], C[23; 6]. (use y = ax^{2}+bx+c) - 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 of the lines make with the x-axis, and find the angle between the lines? - Find the 15

Find the tangent line of the ellipse 9x² + 16y² = 144 that has the slope k = -1 - Determines: 33451

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