Week 16 (12.06.24) Review Systems of Equations

Front

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

Back

The two lines are intersecting lines.

Front

What is the solution to the system of equations 3x + 2y = 16 and 7x + y = 19?

Back

(2,5)

Front

Why do parallel lines never intersect?

Back

They have the same slopes.

Front

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

Back

The graph shows parallel lines.

Front

What is a system of equations?

Back

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

Front

What is the graphical representation of a linear equation?

Back

A straight line.

Front

What does it mean if two lines are coincident?

Back

They are the same line and have infinitely many solutions.

Front

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

Back

If the lines are parallel.

Front

What is the slope of a line?

Back

The ratio of the rise (change in y) to the run (change in x).

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.