Solving Linear Systems by Graphing

Front

What are coincidental lines in a system of linear equations?

Back

Coincidental lines are lines that lie on top of each other, representing infinitely many solutions to the system.

Front

What does it mean for lines to intersect in a system of linear equations?

Back

Intersecting lines meet at a single point, representing one unique solution to the system.

Front

How many solutions do intersecting lines have?

Back

Intersecting lines have one solution.

Front

What is the characteristic of intersecting lines in terms of slope?

Back

Intersecting lines have different slopes.

Front

What is a system of linear equations with no solutions?

Back

A system with no solutions consists of parallel lines that never intersect.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

It means the equations represent the same line, resulting in coincidental lines.

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can 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 graphical representation of a system of equations with one solution?

Back

The graphical representation shows two lines intersecting at a single point.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x=0.