Unit 5 Test Review Alg 1

Front

What are parallel lines?

Back

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

Front

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

Back

It means the lines represented by the equations are parallel and do not intersect.

Front

What is the solution to a system of equations?

Back

The solution is the point where the lines intersect, representing the values of the variables that satisfy both equations.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is in the form x = a, where 'a' is the x-coordinate of any point on the line.

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 does it mean if a system of equations has infinite solutions?

Back

It means the equations represent the same line, and every point on the line is a solution.

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

How do you solve a system of equations graphically?

Back

To solve graphically, plot both equations on the same graph and identify the point(s) of intersection.

Front

What is an undefined slope?

Back

An undefined slope occurs in vertical lines, where the change in x is zero, making the slope calculation impossible.