System of Equations - Graphing

Front

What is a system of equations?

Back

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

Front

What does it mean to graph a system of equations?

Back

It means to plot the equations on a coordinate plane to find their intersection point.

Front

What is the solution to a system of equations?

Back

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

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

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

Back

If the lines are parallel and never intersect.

Front

What does it mean if two lines intersect at one point?

Back

The system of equations has one unique solution.

Front

What is the significance of the coordinates of the intersection point?

Back

They represent the values of the variables that satisfy both equations.

Front

What is the slope of a line?

Back

The steepness of the line, calculated as the rise over run.

Front

How do you find the slope from two points?

Back

Use the formula: (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.