system of equations by 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

It means the lines represented by the equations are parallel and never intersect.

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 are the same line, overlapping each other.

Front

How can you determine the solution of a system of equations by graphing?

Back

By plotting the equations on a graph and identifying the point(s) where they intersect.

Front

What is the graphical representation of the equation y = 2x + 1?

Back

A straight line with a slope of 2 and a y-intercept of 1.

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope is -3.

Front

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

Back

The y-intercept is -2.

Front

If two lines are parallel, what can be said about their slopes?

Back

Their slopes are equal.

Front

If two lines are perpendicular, what can be said about their slopes?

Back

Their slopes are negative reciprocals of each other.