Systems Of Equations by Graphing

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean to solve a system of equations by graphing?

Back

It means to find the point(s) where the graphs of the equations intersect.

Front

What is the solution to a system of equations?

Back

The point(s) where the equations intersect, representing the values of the variables that satisfy all equations.

Front

How do you graph the equation y = 1/2x + 2?

Back

Start at the y-intercept (0, 2) and use the slope (1/2) to find another point.

Front

What is the slope of the line represented by the equation y = -3x + 9?

Back

The slope is -3.

Front

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

Back

It means there is no solution to the system because the lines never intersect.

Front

What does it mean if two lines are the same when graphing a system of equations?

Back

It means there are infinitely many solutions because every point on the line is a solution.

Front

How do you identify the x-coordinate in an ordered pair?

Back

The x-coordinate is the first number in the pair, representing the horizontal position.

Front

How do you identify the y-coordinate in an ordered pair?

Back

The y-coordinate is the second number in the pair, representing the vertical position.

Front

What is the y-intercept of the equation y = 1/2x + 2?

Back

The y-intercept is 2.