6.1 Solving Systems of Equations Using Graphing Flashcard #2

Front

What is the solution to the system of equations represented by the lines on a graph?

Back

The point where the two lines intersect.

Front

What does it mean if two lines are parallel?

Back

They never intersect because they have the same slopes.

Front

What is the solution to the system of equations if the lines intersect at (1, -1)?

Back

(1, -1)

Front

What does it indicate if a system of equations has no solution?

Back

The lines are parallel and do not intersect.

Front

How can you determine the number of solutions in a system of equations?

Back

By analyzing the slopes and y-intercepts of the lines.

Front

What is the significance of the y-intercept in a linear equation?

Back

It is the point where the line crosses the y-axis.

Front

If two lines have different slopes, what can be said about their intersection?

Back

They will intersect at exactly one point.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

The two lines overlap completely.

Front

How do you find the intersection point of two lines graphically?

Back

By locating the point where the two lines cross on the graph.

Front

What is the slope of a line?

Back

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