Solving Systems by Graphing

Front

What is the first step in solving a system by graphing?

Back

Write both linear equations in slope-intercept form.

Front

What is the solution to the system of equations y = 2x + 1 and y = -x + 4?

Back

(1, 3)

Front

What is the solution to the system of equations y = 3x - 2 and y = -2x - 4?

Back

(-3, -8)

Front

The solution to a system of equations is any ordered pair that makes both equations true. True or False?

Back

TRUE

Front

What is the solution to the system of equations y = -x + 1 and y = 2x - 4?

Back

(1, -1)

Front

What does it mean for two lines to intersect on a graph?

Back

It means that the system of equations has a unique solution at the point of intersection.

Front

What is slope-intercept form?

Back

It is a way of writing linear equations in the form y = mx + b, where m is the slope and b is the y-intercept.

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 is the graphical representation of the solution to a system of equations?

Back

The point where the two lines intersect on the graph.

Front

What does it mean if two lines are coincident?

Back

It means they lie on top of each other and have infinitely many solutions.