Week #11 Solving Systems Graphing

Front

What is a system of linear equations?

Back

A set of 2 or more equations that share the same variables.

Front

What does it mean if a system has 0 solutions?

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean if a system has infinite solutions?

Back

The lines representing the equations are the same line, meaning they overlap completely.

Front

What is the significance of the slope in linear equations?

Back

The slope indicates the steepness of the line and the direction it goes (positive or negative).

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What is the y-intercept in a linear equation?

Back

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

Front

How do you graph a linear equation?

Back

You can graph a linear equation by plotting points that satisfy the equation and connecting them with a straight line.

Front

What does it mean for two lines to intersect?

Back

Two lines intersect if they cross at a single point, which represents the solution to the system of equations.

Front

What is the solution to the system of equations y = -3x + 11 and y = -6x - 13?

Back

The solution is (-8, 35).

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions because the lines overlap.