Midpoint Y Coordinate Calculator

Formula

Midpoint y = (First y+Second y) ÷ 2

Worked example

With First y: 3, Second y: 9, midpoint y is 6.

Calculation method

The rule is Midpoint y = (First y+Second y) ÷ 2.

For this midpoint y coordinate example, changing first y from 3 to 4 while keeping the other inputs fixed changes midpoint y from 6 to 6.5.

Reading midpoint y

A coordinate result inherits the same coordinate system as its inputs. A slope describes change in y per unit change in x, including its sign. In the worked values on this page, first y 3, second y 9 produce midpoint y 6.

Practical use

Use these calculations in graphing, geometry, interpolation, or checking an algebraic solution. The specific task here is to find midpoint y from first y, second y.

Limits and common mistakes

Some expressions have restricted domains: a real square root requires a nonnegative radicand, and division by zero is undefined. Verify first y before interpreting midpoint y; a value measured on another basis would answer a different question.

Why the relationship works

Coordinate results are tied to the chosen axes. Midpoints average corresponding coordinates; distance combines horizontal and vertical separation; slope compares vertical change with horizontal change; an intercept locates where a line crosses an axis. Reversing both endpoints leaves distance and slope unchanged, although reversing only one difference changes the sign. The midpoint y coordinate rule uses first y, second y in Midpoint y = (First y+Second y) ÷ 2; read each symbol as the field named on this page.

Interpreting another set of values

For midpoint y coordinate, the fields labeled first y, second y are the known quantities. The calculator solves for midpoint y using Midpoint y = (First y+Second y) ÷ 2. Interpret the answer in the context of the entered equation or coordinate system. A root, signed slope, intercept, distance, and remainder have different meanings and different valid domains. When comparing two calculations, keep their units and input definitions identical.

For a second midpoint y coordinate check, keep the other default inputs fixed and change first y from 3 to 5. Midpoint y changes from 6 to 7. This is a comparison of two particular cases. Repeat it near the values relevant to your task; do not assume that every formula changes at a constant rate.

Checks and limits

Keep all coordinates in the same coordinate system and unit scale. A vertical line has undefined slope because its horizontal change is zero. A midpoint belongs between the corresponding endpoint coordinates; a distance cannot be negative. The reported midpoint y is 6 in the worked example. Keep its stated unit or counting convention when checking it against another calculation.