Systems of Equations Graphing

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

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, which represents the solution.

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 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

How do you find the y-intercept of a linear equation?

Back

Set x to 0 in the equation and solve for y.

Front

Back

3, because it is the value of y when x is 0.

Front

Back

-5, which indicates the line descends as x increases.

Front

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

Back

If the lines are parallel and never intersect, the system has no solution.

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 first step in graphing a linear equation?

Back

Identify the y-intercept and plot it on the graph.