Flashcard 6-3M: 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 constant of variation in a direct variation equation?

Back

It is the ratio of y to x, represented as k in the equation y = kx.

Front

If y varies directly with x and y = 7 when x = 14, what is the constant of variation?

Back

1/2

Front

What is the y-intercept of a linear equation?

Back

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

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the zero of a function?

Back

The x-value where the function equals zero, also known as the x-intercept.

Front

What does the graph of a system of equations with no solution look like?

Back

The graph shows parallel lines.