Solve Systems by Graphing

Front

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

Back

The graph of the system will show parallel lines that never intersect.

Front

What does the graph of a system with infinitely many solutions look like?

Back

The graph will show identical lines, meaning they overlap completely.

Front

What is the solution to a system of equations represented by intersecting lines?

Back

The solution is the point where the two lines intersect.

Front

If you graph the same equation twice, what is the result?

Back

You will have infinite solutions because the lines are identical.

Front

What type of lines represent a system of equations with no solution?

Back

Parallel lines.

Front

What is the solution to the system of equations represented by the lines y = 2x + 1 and y = -x + 3?

Back

(1, 3)

Front

How can you determine if a system of equations has one solution?

Back

If the lines intersect at exactly one point.

Front

What does it mean if two lines are skew?

Back

They do not intersect and are not parallel, typically in three-dimensional space.

Front

What is the graphical representation of the equation y = 2x + 3?

Back

A straight line with a slope of 2 and a y-intercept of 3.

Front

What is the significance of the y-intercept in a linear equation?

Back

It is the point where the line crosses the y-axis.