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 = 2x + 1?

Back

Start at (0,1) on the y-axis, then use the slope of 2 to rise 2 units and run 1 unit to the right.

Front

What is the slope of the line represented by the equation y = 4x - 1?

Back

The slope is 4.

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 coincide when graphing a system of equations?

Back

It means there are infinitely many solutions because the lines are the same.

Front

How do you identify the solution from a graph of two lines?

Back

Look for the point where the two lines intersect.

Front

What is the ordered pair for the solution of the system y = 3x - 8 and y = 4 - x?

Back

(3, 1) is the solution.

Front

What is the format of an ordered pair?

Back

(x, y) where x is the horizontal value and y is the vertical value.