Graphing Systems

Front

What is a system of linear equations?

Back

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

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 is the y-intercept of a line?

Back

The point where the line crosses the y-axis.

Front

How do you find the slope of a line from its equation?

Back

The slope is the coefficient of x in the equation of the line in slope-intercept form (y = mx + b).

Front

Back

2

Front

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

Back

The equations represent the same line.

Front

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

Back

Substitute the point into both equations; if it satisfies both, it is a solution.

Front

What is the graphical representation of a solution to a system of equations?

Back

The point where the lines intersect.

Front

What is the significance of the slope in a linear equation?

Back

It represents the rate of change of y with respect to x.

Front

What does the term 'intersecting lines' imply in a system of equations?

Back

The system has exactly one solution.