Solving 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 for two lines to intersect?

Back

It means they have a common solution, which is the point where they meet.

Front

What is the solution to a system of equations represented graphically?

Back

The point where the graphs of the equations intersect.

Front

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

Back

They have no solutions because they never intersect.

Front

What does it mean if two lines overlap in a system of equations?

Back

There are infinitely many solutions because every point on the line is a solution.

Front

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

Back

By plotting both equations on the same graph and identifying their intersection point.

Front

What is the significance of the coordinates in a solution to a system of equations?

Back

They represent the values of the variables that satisfy all equations in the system.

Front

What is the graphical representation of the equation y = 2x + 1?

Back

A straight line with a slope of 2 and a y-intercept of 1.

Front

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

Back

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

Front

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

Back

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