EOC Fast Facts 2

Front

What is the solution of a system of equations?

Back

The solution is the point where the equations intersect on a graph.

Front

What does it mean for two equations to intersect?

Back

It means they have at least one point in common, which is the solution to the system.

Front

How can you determine if a system of equations has no solution?

Back

If the lines representing the equations are parallel, they will never intersect, indicating no solution.

Front

What is a system of inequalities?

Back

A set of inequalities with the same variables that can be graphed to find a solution region.

Front

How do you graph a system of inequalities?

Back

Graph each inequality on the same coordinate plane and identify the overlapping region.

Front

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

Back

The equations represent the same line, meaning every point on the line is a solution.

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

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

Back

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

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of the line, calculated as the rise over run.

Front

How do you find the solution to a system of equations graphically?

Back

By plotting both equations on the same graph and identifying their intersection point.