Graphing Systems of Equations

Front

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

Back

The two lines are intersecting lines.

Front

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

Back

The two lines are parallel.

Front

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

Back

The two lines are the same line.

Front

How do you determine if a point is a solution to a system of equations?

Back

Plug the x-value and y-value into both equations and check if both are true.

Front

What is the solution to the system of equations represented graphically?

Back

The point where the two lines intersect.

Front

What is the slope of a line?

Back

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

Front

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

Back

Slope (m) = (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.

Front

What does the y-intercept represent in a graph?

Back

The point where the line crosses the y-axis.