Week 16 (12.06.24) Review Systems of Equations

Front

What is a system of equations?

Back

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

Front

What does it mean if a system of equations has one solution?

Back

The lines represented by the equations intersect at exactly one point.

Front

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

Back

The lines represented by the equations are parallel and never intersect.

Front

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

Back

The lines represented by the equations are the same line.

Front

What is the slope-intercept form of a linear equation?

Back

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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).

Front

What is the graphical representation of parallel lines?

Back

Parallel lines have the same slope but different y-intercepts.

Front

What is the graphical representation of intersecting lines?

Back

Intersecting lines cross each other at one point, indicating a unique solution.

Front

What is the graphical representation of coincident lines?

Back

Coincident lines lie on top of each other, indicating infinite solutions.