Solve by Graphing

Front

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

Back

(1, 3)

Front

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

Back

The system has parallel lines that never intersect.

Front

If a system of equations has infinitely many solutions, what does the graph look like?

Back

Identical (the same) lines.

Front

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

Back

No solution (parallel lines).

Front

How do 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 slope of the line represented by the equation y = 2x + 1?

Back

2

Front

What is the y-intercept of the line represented by the equation y = 4x - 1?

Back

-1

Front

What does it mean if two lines intersect at one point?

Back

The system has one unique solution.

Front

How can you graph the equation y = -x + 4?

Back

Start at (0, 4) and use the slope -1 to find another point.

Front

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

Back

(1, 3)