Analytic Geometry and Linear Equations Quiz

Standard form for representing a line where 'm' is the slope and 'b' is the y-intercept.

The slope is undefined for lines parallel to the y-axis as they are vertical.

Formula for calculating the distance between two points using the Pythagorean theorem.

Standard form of the equation of a plane, where A, B, and C are coefficients and D is a constant.

Perpendicular lines have negative reciprocal slopes, thus the slope is -1/3.

Parametric equations represent coordinates in terms of a parameter 't'.

Equation representing a circle with center (h, k) and radius 'r' in the coordinate plane.

Matrix A represents the coefficients of the variables in the system of linear equations.

Formula for calculating the determinant of a 2x2 matrix.

Conic section represented by a quadratic equation where A and B are equal.

The point where the two lines intersect, found by solving the system of equations.

Reflecting a line across the x-axis changes the sign of the constant term.

Eigenvalue is a scalar value that represents how a linear transformation behaves.

Collinear points lie on the same line, meaning they share the same slope.

Parallel lines have identical slopes but different intercepts.

Equation representing a sphere with center (h, k, l) and radius 'r' in three-dimensional space.

Cross product of two vectors yields a vector orthogonal to both, direction determined by the right-hand rule.