Solving Systems of Equations with 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 to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system.

Front

What is the graphical method of solving systems of equations?

Back

Plotting the equations on a graph and identifying the point(s) where they intersect.

Front

What does it mean if two lines intersect at one point?

Back

The system has one unique solution.

Front

What does it mean if two lines are parallel?

Back

The system has no solution.

Front

What does it mean if two lines overlap?

Back

The system has infinitely many solutions.

Front

How do you identify the solution from a graph?

Back

The coordinates of the intersection point of the lines.

Front

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

Back

(2, 5) is the solution.

Front

What is the slope of a line?

Back

The rate at which y changes with respect to x, often represented as 'm' in the equation y = mx + b.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis, represented as 'b' in the equation y = mx + b.