8G Checkpoint#13 Solutions to Graphs of Systems Equations

Front

What is the solution to a system of linear equations?

Back

The solution is the point where the graphs of the equations intersect, representing the values of the variables that satisfy all equations in the system.

Front

What does it mean if two lines are parallel?

Back

Parallel lines never intersect because they have the same slope.

Front

How can you estimate the solution of a system of equations from a graph?

Back

By identifying the point where the two lines intersect on the graph.

Front

What is the significance of the slope in linear equations?

Back

The slope indicates the steepness of the line and the direction it moves; lines with the same slope are parallel.

Front

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

Back

It means the lines are parallel and will never intersect.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the y-intercept of a linear equation?

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 is the x-intercept of a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (a, 0) in the equation y = mx + b.

Front

What does the term 'system of equations' refer to?

Back

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

Front

How can you graphically solve a system of equations?

Back

By plotting the equations on the same graph and finding the intersection point.