Systems of Equations by Graphing

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 two lines are parallel in a system of equations?

Back

They have no solution because they never intersect.

Front

What does it mean if two lines are the same in a system of equations?

Back

They have infinitely many solutions because they overlap completely.

Front

What does it mean if two lines intersect at one point in a system of equations?

Back

They have one unique solution at the point of intersection.

Front

How can you determine the solution of a system of equations by graphing?

Back

The solution is the point where the two lines intersect on the graph.

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

What is the slope of a line?

Back

The steepness of the line, calculated as the rise over run.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.

Front

How do you find the x-intercept of a line?

Back

Set y to 0 in the equation and solve for x.

Front

What is the significance of the solution (1, -1) in a system of equations?

Back

It is the point where the two lines intersect, representing the values of x and y that satisfy both equations.