Systems of Equations

Front

If a system of linear equations has one solution, what does this mean about the two lines?

Back

The two lines are intersecting lines.

Front

What is the solution to the system of inequalities: y ≥ -x - 1 and y ≥ x + 4?

Back

The solution is the region above the line y = -x - 1 and above the line y = x + 4.

Front

What is the solution to the system of equations represented by the points (1, -1), (-1, 1), (0, -2), and (0, 1)?

Back

The solution is (1, -1).

Front

Find the slope of the line that passes through the points (6,7) and (4,2).

Back

The slope is 5/2.

Front

What is the solution to the system of equations that has no intersection?

Back

The solution is No Solution.

Front

What does it mean if two lines are parallel in a system of equations?

Back

It means that the system has no solution.

Front

What is the graphical representation of a system of equations with 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

Substitute the point into each equation; if it satisfies all equations, it is a solution.

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.