Flashcard 6M: System of linear equations

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables.

Front

What does it mean if a system of linear equations has no solution?

Back

The lines represented by the equations are parallel and never intersect.

Front

What does it mean if a system of linear equations has one solution?

Back

The lines represented by the equations intersect at exactly one point.

Front

What does it mean if a system of linear equations has infinitely many solutions?

Back

The lines represented by the equations are the same line, overlapping each other.

Front

What is the y-intercept of a linear equation?

Back

The point where the line crosses the y-axis, represented as (0, y).

Front

What is the slope of a line?

Back

The rate of change of y with respect to x, calculated as rise/run.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the constant of variation in direct variation?

Back

The constant ratio (k) between y and x in the equation y = kx.

Front

What does the graph of parallel lines look like?

Back

Two lines that never intersect and have the same slope.

Front

What does the graph of intersecting lines look like?

Back

Two lines that cross each other at one point.