Review: L3.1 & L3.2

Front

What is a system of equations with no solution?

Back

A system of equations with no solution is represented by two parallel lines on a graph, indicating that the lines never intersect.

Front

What is slope-intercept form?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

Front

Back

Front

Back

The slope is 4.

Front

Back

The slope is -rac{1}{2}.

Front

What does it mean if two lines overlap on a graph?

Back

If two lines overlap on a graph, it means they represent the same equation, resulting in infinite solutions.

Front

What is the graphical representation of a system of equations with infinite solutions?

Back

A system of equations with infinite solutions is represented by two overlapping lines on a graph.

Front

What is the difference between intersecting lines and parallel lines?

Back

Intersecting lines cross at one point, indicating a unique solution, while parallel lines never meet, indicating no solution.

Front

How can you identify the slope from a graph?

Back

The slope can be identified by selecting two points on the line and calculating the rise over run (change in y over change in x).