Systems: Number of Solutions

Front

What are the possible types of solutions for a system of equations?

Back

1 solution, 2 solutions, No solutions, Infinite Solutions.

Front

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

Back

The graphs of the equations are parallel lines.

Front

What does the graph of a system with infinite solutions look like?

Back

The lines are the same and overlap at all points.

Front

What is the y-intercept in the equation y = -2x?

Back

0

Front

What indicates that two lines will never intersect?

Back

They have the same slope.

Front

How can you determine if a system of equations has exactly one solution?

Back

The lines intersect at one point.

Front

What is the graphical representation of two skew lines?

Back

They do not intersect and are not parallel.

Front

What is the significance of the slope in a linear equation?

Back

It indicates the steepness and direction of the line.

Front

How do you find the slope of a line given two points?

Back

Use the formula (y2 - y1) / (x2 - x1).

Front

What does it mean for two lines to be parallel?

Back

They have the same slope but different y-intercepts.