Solving Systems of Linear Equations

Front

What are parallel lines?

Back

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

Front

What does it mean for two lines to intersect?

Back

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

Front

What is the solution to a system of linear equations?

Back

The solution is the point where the lines intersect, represented as an ordered pair (x, y).

Front

What methods can be used to solve systems of linear equations?

Back

You can solve systems using graphing, substitution, and elimination.

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 (change in y over change in x).

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What is the elimination method?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Front

What is the substitution method?

Back

The substitution method involves solving one equation for a variable and substituting that expression into the other equation.

Front

How do you graph a linear equation?

Back

To graph a linear equation, find two or more points that satisfy the equation and plot them on a coordinate plane.

Front

What does it mean if two lines are perpendicular?

Back

Two lines are perpendicular if they intersect at a right angle, and their slopes are negative reciprocals of each other.