Systems of Linear Equations (Graphing) Test

Front

What is a system of linear equations?

Back

A set of two or more linear 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 coincide, meaning they are the same line.

Front

How do you determine the solution of a system of linear equations graphically?

Back

By finding the point(s) where the lines intersect on a graph.

Front

What is slope-intercept form of a linear equation?

Back

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

Front

How do you convert an equation to slope-intercept form?

Back

Isolate y on one side of the equation.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.

Front

What is the y-intercept of the line represented by the equation y = -x + 4?

Back

The y-intercept is 4.

Front

How can you check if a point is a solution to a system of equations?

Back

Substitute the point's coordinates into both equations to see if they hold true.

Front

What does it mean if two lines intersect at one point?

Back

The system of equations has one unique solution.