Flashcard 6-6: System of linear equations

Front

What does the graph of a system of equations with no solution look like?

Back

Parallel lines.

Front

If a system of linear equations has one solution, what does this mean about the two lines?

Back

The lines are intersecting.

Front

Find the solution in the following system of equations: 3x + 2y = 16 and y = -7x + 19.

Back

(2, 5)

Front

Solve the following system of equations by graphing: What is the solution?

Back

(-4, 4)

Front

What is the y-intercept, zero, and slope in the following graph?

Back

The y-intercept is (0, -3), the slope is -3/5, and the zero is -5.

Front

What is a system of linear equations?

Back

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

Front

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

Back

They have the same slope but different y-intercepts, indicating no solutions.

Front

What is the solution to a system of equations represented graphically?

Back

The point where the lines intersect.

Front

How can you determine if a system of equations has infinitely many solutions?

Back

If the equations represent the same line.

Front

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

Back

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