Solving Systems of Linear Equations by Graphing

Front

What is a system of linear equations?

Back

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

Front

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

Back

A solution to a system of equations is an ordered pair that satisfies all equations in the system.

Front

How can you find the solution to a system of linear equations by graphing?

Back

You can find the solution by graphing each equation on the same coordinate plane and identifying the point where the lines intersect.

Front

What is the graphical representation of a linear equation?

Back

The graphical representation of a linear equation is a straight line on a coordinate plane.

Front

What does the point of intersection represent in a system of equations?

Back

The point of intersection represents the solution to the system of equations.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on a coordinate plane, written in the form (x, y).

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run between two points on the line.

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 does it mean if two lines are parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning they intersect at a right angle.