4.1 Solving Systems Review

Front

What is the solution to a system of equations?

Back

The solution is the point (x, y) where the equations intersect on a graph.

Front

What does it mean for two lines to intersect?

Back

It means they meet at a single point, which is the solution to the system of equations.

Front

How do you find the slope of a line from a graph?

Back

The slope is calculated as the rise over run, or the change in y divided by the change in x.

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet and have the same slope.

Front

What is an x-intercept?

Back

The x-intercept is the point where a line crosses the x-axis, represented as (x, 0).

Front

What is a y-intercept?

Back

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

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel, they will never intersect, indicating no solution.

Front

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

Back

It means the equations represent the same line, and every point on the line is a solution.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

How do you graph a linear equation?

Back

You can graph it by finding the x-intercept and y-intercept, then drawing a line through these points.