System of Equations Graphs

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean if a system of equations has one solution?

Back

The lines representing the equations intersect at exactly one point.

Front

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

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinite solutions?

Back

The lines representing the equations are the same line, meaning they overlap completely.

Front

How can you determine the solution of a system of equations graphically?

Back

By finding the point where the lines intersect on the graph.

Front

What is the graphical representation of a system of equations?

Back

It is represented by the lines of the equations plotted on a coordinate plane.

Front

If two lines are parallel, what can be said about their slopes?

Back

The slopes of parallel lines are equal.

Front

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

Back

The slope is represented by 'm' in the equation.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is represented by 'b' and is the point where the line crosses the y-axis.

Front

How do you find the solution to a system of equations algebraically?

Back

By using methods such as substitution, elimination, or graphing.