Front

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

Back

The two lines have a unique solution, which is the point of intersection.

Front

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

Back

The two lines are the same line, meaning they overlap completely.

Front

What is the solution to the system of equations: y = -x - 4 and y = x - 2?

Back

The solution is the point (-1, -3).

Front

How do you solve a system of equations using substitution?

Back

You solve one equation for one variable and substitute that expression into the other equation.

Front

What is the correct substitution for the equation y = x - 8 in the equation 5x + 2y = 19?

Back

Student B's substitution is correct: 5x + 2(x - 8) = 19.

Front

What is the graphical representation of a system of equations with no solution?

Back

The lines are parallel and never intersect.

Front

What is the graphical representation of a system of equations with exactly one solution?

Back

The lines intersect at a single point.

Front

What is the graphical representation of a system of equations with infinitely many solutions?

Back

The lines coincide, meaning they are the same line.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.