6.1 - Solving Systems by Graphing

Front

What is the solution to a system of equations when graphed?

Back

The point where the two lines intersect.

Front

What does it mean if two lines are parallel in a graph?

Back

They never intersect because they have the same slope.

Front

How can you identify the solution to a system of equations graphically?

Back

By finding the point of intersection of the two lines.

Front

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

Back

The lines are parallel and do not intersect.

Front

What is the slope of a line?

Back

The steepness of the line, calculated as the rise over run.

Front

What is a y-intercept?

Back

The point where a line crosses the y-axis.

Front

If two lines have different slopes, what can be said about their intersection?

Back

They will intersect at exactly one point.

Front

What is the graphical representation of the equation y = 2x + 3?

Back

A straight line with a slope of 2 and a y-intercept of 3.

Front

What does it mean if two lines are skew?

Back

They do not intersect and are not parallel, typically in three-dimensional space.

Front

How do you determine if a system of equations has infinitely many solutions?

Back

The two equations represent the same line.