Q2W6 Weekly Flashcard

Front

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

Back

It means that the equations represent the same line, and every point on that line is a solution.

Front

What is the solution to the system of equations represented by the point (1, -1)?

Back

The solution is the point where the two equations intersect, which is (1, -1).

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions because both graphs overlap completely.

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel and never intersect, the system has no solution.

Front

What is standard form of a linear equation?

Back

Front

What is the significance of the coefficients in the standard form of a linear equation?

Back

The coefficients determine the slope and y-intercept of the line.

Front

How do you convert an equation from slope-intercept form to standard form?

Back

Front

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

Back

It means that the lines intersect at exactly one point.

Front

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

Back

The graphical representation shows two parallel lines that never meet.

Front

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

Back

The graphical representation shows two lines that intersect at a single point.