Solving Systems by Graphing

Front

What type of lines result in one solution when graphing a system of equations?

Back

Intersecting lines.

Front

What type of lines result in infinitely many solutions when graphing a system of equations?

Back

Coinciding lines (lines that lie on top of one another).

Front

What type of lines result in no solution when graphing a system of equations?

Back

Parallel lines.

Front

What is the solution of the system of equations represented by the point (1, 4)?

Back

The solution occurs at the coordinates (1, 4).

Front

What is the solution of the system of equations represented by the point (1, -1)?

Back

The solution occurs at the coordinates (1, -1).

Front

What does it mean if two lines are coinciding?

Back

It means they lie on top of one another and have infinitely many solutions.

Front

What does it mean if two lines are parallel?

Back

It means they never intersect and have no solutions.

Front

How can you determine the solution of a system of equations graphically?

Back

By finding the point where the lines intersect.

Front

What is the graphical representation of the equation y = -2x + 1?

Back

A straight line with a slope of -2 and a y-intercept of 1.

Front

What is the graphical representation of the equation y = 3x - 4?

Back

A straight line with a slope of 3 and a y-intercept of -4.