Solving Systems by Graphing

Front

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

Back

(1, 3)

Front

What do we call lines that never intersect?

Back

Parallel Lines

Front

What is the point of intersection of the lines y = 3x - 2 and y = -x + 4?

Back

(2, 4)

Front

What type of lines are represented by the equations y = 2x + 3 and y = 2x - 1?

Back

Coincident Lines

Front

How do you determine if a point is a solution to a system of equations?

Back

Substitute the point into both equations and check if both are true.

Front

What is the graphical representation of a system with no solution?

Back

Two parallel lines.

Front

What does it mean if two lines are coincident?

Back

They lie on top of each other and have infinitely many solutions.

Front

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

Back

(2, 4)

Front

What is the term for the point where two lines intersect?

Back

Point of Intersection

Front

If a system of equations has exactly one solution, what does the graph look like?

Back

Two lines intersecting at one point.