System of Equations (solutions, graphing, and substitution)

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 no solution?

Back

The lines represented by the equations are parallel and never intersect.

Front

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

Back

The lines represented by the equations are the same line, meaning they overlap completely.

Front

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

Back

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

Front

How do you find the slope from the equation y = 4x + 2?

Back

The slope is 4.

Front

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

Back

The system of equations has one unique solution.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What is the y-intercept in the equation y = -2x + 5?

Back

The y-intercept is 5.

Front

If m = 1 and b = -3, what is the slope-intercept equation?

Back

y = 1x - 3 or y = x - 3.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation consists of lines on a coordinate plane.