U3 L1 System of Equations 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 if a system of equations has no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The lines representing the equations are the same line, meaning they overlap completely.

Front

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

Back

By finding the point where the lines intersect on a graph.

Front

What is the solution to the system of equations y = 2x + 1 and y = 2x - 3?

Back

No solution, as the lines are parallel.

Front

What is the solution to the system of equations y = x + 2 and y = -x + 4?

Back

(1, 3), where the lines intersect.

Front

What does it mean if two lines have the same slope but different y-intercepts?

Back

The lines are parallel and will never intersect.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

3, which indicates the line rises 3 units for every 1 unit it moves to the right.

Front

What is the y-intercept of the equation y = -2x + 5?

Back

5, which is the point where the line crosses the y-axis.

Front

How do you find the x-intercept of the equation 2x + 3y = 6?

Back

Set y = 0 and solve for x, resulting in x = 3.