Solving Systems of Equations by Graphing

Front

What happens when you graph the exact same equation twice?

Back

You will have infinite solutions.

Front

What is the solution to the system of equations graphed by Lesly if the intersection point is (-3,-8)?

Back

(-3,-8)

Front

If a system of equations has no solution, what does the graph look like?

Back

Parallel lines.

Front

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

Back

The lines are parallel.

Front

Why do parallel lines never intersect?

Back

They have the same slopes.

Front

What is the graphical representation of a system with one solution?

Back

Intersecting lines.

Front

What is the slope of a line that is parallel to the line y = 2x + 3?

Back

2.

Front

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

Back

They will intersect at one point.

Front

What is the y-intercept of the line represented by the equation y = 3x + 4?

Back

4.

Front

How can you determine if a system of equations has infinitely many solutions?

Back

The equations represent the same line.