Redo Fall Final

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables. Solutions are the points where the equations intersect.

Front

How do you find the y-coordinate in a system of linear equations?

Back

Substitute the x-coordinate into one of the equations and solve for y.

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 is the slope of a line?

Back

The slope is the ratio of the rise (change in y) to the run (change in x) between two points on the line.

Front

What is a positive slope?

Back

A slope that rises from left to right, indicating that as x increases, y also increases.

Front

What is a negative y-intercept?

Back

The point where the line crosses the y-axis below the origin (y < 0).

Front

How do you determine the rate of change from a graph?

Back

Calculate the change in y divided by the change in x between two points on the graph.

Front

What is the solution to a system of equations?

Back

The point(s) (x, y) that satisfy all equations in the system.

Front

What does it mean for a system to have infinitely many solutions?

Back

The equations represent the same line, meaning every point on the line is a solution.

Front

How can you graph a linear equation?

Back

Identify the y-intercept and use the slope to find another point, then draw a line through these points.