Solving a system by graphing

Front

What is the solution to a system of equations?

Back

The point that the equations have in common.

Front

What does it mean when two lines intersect on a graph?

Back

It means that the system of equations has one solution.

Front

What is the graphical representation of a system of equations?

Back

Two or more lines on a coordinate plane.

Front

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

Back

By observing the number of intersection points of the lines.

Front

What does it mean if two lines are parallel in a system of equations?

Back

The system has no solution.

Front

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

Back

(1, 3) - The point where the two lines intersect.

Front

What is the slope of a line in the equation y = mx + b?

Back

The coefficient 'm' represents the slope of the line.

Front

What does the y-intercept represent in the equation of a line?

Back

The point where the line crosses the y-axis.

Front

If a system of equations has infinitely many solutions, what does that imply about the lines?

Back

The lines are coincident, meaning they lie on top of each other.

Front

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

Back

Graph each equation on the same coordinate plane.