Flashcard 6-7: System of linear equations

Front

What happens when you graph the same linear equation twice?

Back

You will have infinitely many solutions.

Front

What does the graph of a system of equations with no solution look like?

Back

Parallel lines.

Front

How many solutions does a system of equations have if the lines are parallel?

Back

No solution.

Front

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

Back

(1, -1) is the solution.

Front

What is the y-intercept of a line?

Back

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

Front

What is the slope of a line?

Back

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

Front

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

Back

The system of equations has one unique solution.

Front

What is the zero of a function?

Back

The zero is the x-value where the function equals zero.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Slope = (y2 - y1) / (x2 - x1).

Front

What is the general form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.