Solving Linear Systems by Graphing

Front

What is a linear equation?

Back

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is the slope-intercept form of a linear equation?

Back

Front

How do you find the solution to a system of linear equations graphically?

Back

The solution is the point where the two lines intersect on the graph.

Front

What does it mean if two lines are the same line?

Back

If two lines are the same line, it means they have infinitely many solutions, as every point on the line is a solution.

Front

What is the y-intercept of a line?

Back

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction it goes. A positive slope rises from left to right, while a negative slope falls.

Front

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

Back

A system has no solution if the lines are parallel, meaning they have the same slope but different y-intercepts.

Front

What is the standard form of a linear equation?

Back

Front

How do you graph a linear equation?

Back

To graph a linear equation, find the y-intercept, plot it on the graph, and use the slope to find another point.