graphing systems

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 two lines are parallel in a system of equations?

Back

They have no solutions because they never intersect.

Front

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

Back

The system has one unique solution, which is the point of intersection.

Front

What is the graphical representation of a solution to a system of equations?

Back

The point where the lines representing the equations intersect.

Front

How can you determine if a system of equations has infinitely many solutions?

Back

If the two equations represent the same line, they have infinitely many solutions.

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

How do you find the y-intercept of a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line.

Front

How do you graph a linear equation?

Back

Find two points that satisfy the equation and draw a line through them.

Front

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

Back

The lines are parallel and will never intersect.