Solving Systems by Graphing

Front

What happens when you graph the same linear equation twice?

Back

You will have infinite solutions.

Front

How do you find the solution of the system of equations represented by the lines y=2/3x+1/3 and y=x-1?

Back

The solution is (4,3).

Front

What is the slope-intercept form of the equation 10x - 5y = 30?

Back

y = 2x - 6.

Front

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

Back

The lines are parallel and will never intersect.

Front

What is the solution of the system represented by the equations 5x + 3y = 7 and y = 4?

Back

The solution is (-1,4).

Front

What is the definition of a system of equations?

Back

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

Front

What does it mean for two lines to be coincident?

Back

They lie on top of each other and have infinite solutions.

Front

How can you determine if a system of equations has one solution, no solution, or infinite solutions?

Back

By analyzing the slopes and y-intercepts of the lines.

Front

What is the slope of the line represented by the equation y = 2x - 6?

Back

The slope is 2.

Front

What is the y-intercept of the line represented by the equation y = 2x - 6?

Back

The y-intercept is -6.