The coordinate plane is a two-dimensional plane formed by the intersection of a horizontal number line, called the x-axis, and a vertical number line, called the y-axis.

What are the coordinates of the origin?

The coordinates of the origin are (0,0).

What is the distance formula?

The distance formula is used to find the distance between two points in a coordinate plane.

What is the midpoint formula?

The midpoint formula is used to find the midpoint between two points in a coordinate plane.

What is the slope of a line?

The slope of a line describes its steepness and direction. It is calculated as the change in y-coordinates divided by the change in x-coordinates.

What is the slope-intercept form of a linear equation?

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

What is the point-slope form of a linear equation?

The point-slope form of a linear equation is y - y₁ = m(x - x₁), where (x₁, y₁) is a given point on the line and m is the slope.

What is the standard form of a linear equation?

The standard form of a linear equation is Ax + By = C, where A, B, and C are constants and A and B are not both zero.

What are parallel lines?

Parallel lines are lines in a plane that never intersect. They have the same slope.

What are perpendicular lines?

Perpendicular lines are lines in a plane that intersect at a 90-degree angle. Their slopes are negative reciprocals of each other.

What is the equation of a circle?

The equation of a circle is (x - h)² + (y - k)² = r², where (h, k) represents the center of the circle and r represents the radius.

What is the equation of a parabola?

The equation of a parabola is y = a(x - h)² + k, where (h, k) represents the vertex of the parabola and a determines the direction and width of the parabola.

What is the equation of an ellipse?

The equation of an ellipse is [(x - h)² / a²] + [(y - k)² / b²] = 1, where (h, k) represents the center of the ellipse, and a and b determine the shape and size of the ellipse.

What is the equation of a hyperbola?

The equation of a hyperbola is [(x - h)² / a²] - [(y - k)² / b²] = 1, where (h, k) represents the center of the hyperbola, and a and b determine the shape and size of the hyperbola.

What is the equation of a line in general form?

The general form of a line equation is Ax + By + C = 0, where A, B, and C are constants and A and B are not both zero.