Systems of Equations- graphing and substitution flashcard

Front

What does it mean when a system of linear equations has no solution?

Back

The equations represent parallel lines that never intersect.

Front

What does it mean when a system of linear equations has one solution?

Back

The equations represent intersecting lines that cross at exactly one point.

Front

What is the graphical representation of parallel lines?

Back

Parallel lines have the same slope but different y-intercepts.

Front

What is the solution to the system of equations: 3x − 2y = 7 and y = 2x − 7?

Back

(7, 7)

Front

What is the result of the statement 4 = 7 when solving a system of equations?

Back

It indicates that there is no solution.

Front

What do you call the point where two lines intersect?

Back

The point of intersection.

Front

What is the slope of a line represented by the equation y = mx + b?

Back

m (the coefficient of x) is the slope.

Front

If two lines have different slopes, what can be said about their intersection?

Back

They will intersect at one point.

Front

What is the significance of the y-intercept in a linear equation?

Back

It is the point where the line crosses the y-axis.

Front

How can you determine if a system of equations has infinitely many solutions?

Back

If the equations represent the same line.