Mod 6 Review : Systems Graphically (Math)

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 intersect at exactly one point, representing a unique solution for the variables.

Front

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

Back

The lines are coincident, meaning they lie on top of each other and have infinitely many solutions.

Front

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

Back

The lines are parallel and never intersect, indicating that there is no set of values that satisfies both equations.

Front

How do you graph a linear equation?

Back

You can graph a linear equation by finding two or more points that satisfy the equation and then connecting them with a straight line.

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of a line, calculated as the rise over run (change in y over change in x).

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 can you determine the number of solutions graphically?

Back

By observing the intersection points of the lines representing the equations.

Front

What does the solution (2, 5) represent in a system of equations?

Back

It represents the values of x and y that satisfy both equations in the system.

Front

What is the significance of the coefficients in a linear equation?

Back

Coefficients determine the slope and position of the line on the graph.