Flashcard 6-7M: System of linear equations

Front

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

Back

The graph consists of parallel lines.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of the line, calculated as the rise over run.

Front

What does it mean if a system of equations has one solution?

Back

It means the lines intersect at exactly one point.

Front

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

Back

It means the lines coincide, or are the same line.

Front

How do you find the y-intercept from a linear equation?

Back

Set x to 0 and solve for y.

Front

What is the constant of variation in a direct variation equation?

Back

It is the ratio of y to x, represented as k in the equation y = kx.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What is the zero of a function?

Back

The zero of a function is the x-value where the function equals zero.

Front

How can you tell if a system of equations has no solution graphically?

Back

If the lines are parallel, the system has no solution.