Midpoint Formula in Geometry

Calculates the midpoint of a line segment using endpoints.

(Xm, Ym) are derived from the endpoints' coordinates.

(x₁, y₁) and (x₂, y₂) are the line segment endpoints.

Calculates the slope (m) of a line through two points.

Denotes the slope of a line, represented by 'm'.

Distance formula calculates the distance between two points.

d = distance between two points in a plane.

Two lines that intersect at a right angle.

For perpendicular lines m₁ = -1/m₂.

Standard form of a linear equation: Ax + By + C = 0.

Equation format: y = mx + b representing a line.

Variable affected by the independent variable in a function.

Variable that is changed or controlled in a function.

y - Y₁ = m(x - x₁) uses a point and slope to find a line's equation.

Point where the line crosses the y-axis in y = mx + b.

Represented mathematically to describe their behavior.

Difference between y-coordinates in slope calculation.

Difference between x-coordinates in slope calculation.

Indicates how steep or flat the line is.

Lines that never intersect and have the same slope.

Value that changes sign and takes the reciprocal.

Part of the distance formula, denoted by √.

2D framework using x and y axes to map points.

Adding the coordinates and dividing by two gives the midpoint.

Functions that graph as straight lines in a coordinate system.

Formulated with the differences of coordinates: (y₂ - y₁)/(x₂ - x₁).

Distance directly related to differences in coordinates.

Equations can be visualized as lines on a graph.