Systems # of solutions

Front

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

Back

The lines represented by the equations are parallel and never intersect.

Front

What is the condition for two lines to have infinitely many solutions?

Back

The two lines are the same line, meaning they have the same slope and y-intercept.

Front

How can you determine if two lines are parallel?

Back

If they have the same slope but different y-intercepts.

Front

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

Back

The lines intersect at exactly one point.

Front

What is the slope of a line?

Back

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

Front

What is a linear equation in two variables?

Back

An equation that can be written in the form Ax + By = C, where A, B, and C are constants.

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

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 given two points?

Back

Use the formula (y2 - y1) / (x2 - x1).

Front

What does it mean for two lines to intersect?

Back

They meet at a single point, which is the solution to the system of equations.