System 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 one solution?

Back

The two lines intersect at exactly one point.

Front

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

Back

The two lines are parallel and never intersect.

Front

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

Back

The two lines are the same line, overlapping each other.

Front

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

Back

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

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 the y-intercept of a line?

Back

The y-intercept is 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.

Front

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

Back

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