Systems of equations graphing

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

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

Back

The lines representing the equations are parallel and never intersect.

Front

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

Back

The lines representing the equations are the same line.

Front

How can you determine the solution of a system of equations graphically?

Back

By finding the point where the lines intersect on a graph.

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

What is the slope of a line?

Back

The rate at which the line rises or falls, calculated as 'rise over run'.

Front

What does it mean if two lines are intersecting?

Back

They have one unique solution, which is the point of intersection.

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 is the standard form of a linear equation?

Back

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