Solving Systems of Equations by Graphing y = only

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 solve a system of equations by graphing?

Back

It involves plotting the equations on a graph and identifying the point(s) where they intersect, which represents the solution.

Front

What is the solution to a system of equations?

Back

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

Front

How do you convert an equation to slope-intercept form?

Back

Front

Back

The slope is -4.

Front

Back

The y-intercept is -16.

Front

How do you find the intersection of two lines graphically?

Back

Plot both lines on the same graph and look for the point where they cross.

Front

Back

The solution is (-1, -6).

Front

What does it mean if two lines are parallel in a system of equations?

Back

It means there is no solution, as the lines will never intersect.

Front

What is the significance of the point (1, -1) in a system of equations?

Back

It is the solution to the system, meaning both equations are satisfied at this point.