Graphing Systems of Equations

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never intersect and have the same slope.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

What does it mean for a point to be a solution of a system of equations?

Back

A point is a solution of a system of equations if it satisfies all equations in the system.

Front

How can you determine if two lines are parallel from their equations?

Back

Two lines are parallel if they have the same slope in their equations.

Front

What is the graphical representation of a solution to a system of equations?

Back

The graphical representation of a solution is the point where the lines intersect on a graph.

Front

What does it mean for two lines to intersect?

Back

Two lines intersect when they cross each other at a single point, which is the solution to the system of equations.

Front

How do you find the solution to a system of equations graphically?

Back

To find the solution graphically, plot both equations on the same graph and identify the point where they intersect.

Front

What is the significance of the ordered pair (x, y) in a system of equations?

Back

The ordered pair (x, y) represents the coordinates of the point that is the solution to the system of equations.