Solving Systems of Equations by Graphing

Front

What is the solution to a system of equations?

Back

The solution is the point where the lines intersect.

Front

How can you determine if a point is a solution to a system of equations?

Back

Substitute the point's coordinates into both equations. If both equations are true, the point is a solution.

Front

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

Back

If two lines are parallel, they have no solutions because they never intersect.

Front

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

Back

If two lines are the same, they have infinite solutions because every point on the line is a solution.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation consists of two or more lines plotted on a coordinate plane.

Front

What is the significance of the intersection point of two lines?

Back

The intersection point represents the solution to the system of equations.

Front

How do you graph a linear equation?

Back

To graph a linear equation, find two or more points that satisfy the equation and connect them with a straight line.

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of a line, calculated as the rise over run.

Front

What does it mean for two lines to have the same slope?

Back

If two lines have the same slope, they are parallel and will never intersect.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis.