Systems: Number of Solutions

Front

What is the number of solutions when the graphs of two lines intersect?

Back

1

Front

What is the number of solutions for the equations y = -2x + 5 and 2x + y = 7?

Back

0

Front

What is the number of solutions when two equations graph onto the same line?

Back

Infinitely Many Solutions

Front

What is the number of solutions when two equations have the same y-intercept but different rates of change?

Back

1

Front

What is the number of solutions when the graphs are parallel lines and always 3 units apart?

Back

None

Front

Define 'Intersecting Lines'.

Back

Lines that cross at a single point, indicating one solution.

Front

Define 'Parallel Lines'.

Back

Lines that never meet and have no solutions.

Front

What does 'Infinitely Many Solutions' mean in the context of linear equations?

Back

It means that the equations represent the same line.

Front

What is a 'Y-Intercept'?

Back

The point where a line crosses the y-axis.

Front

What is a 'Rate of Change' in linear equations?

Back

It refers to the slope of the line, indicating how much y changes for a change in x.