Systems of Equation 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 solve a system of equations graphically?

Back

It means to find the point(s) where the graphs of the equations intersect.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

Isolate y on one side of the equation.

Front

What is the significance of the intersection point in a system of equations?

Back

It represents the solution to the system, where both equations are true.

Front

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

Back

The system has no solution because the lines never intersect.

Front

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

Back

The system has infinitely many solutions because the lines are the same.

Front

How can you determine if a system of equations has a unique solution?

Back

If the lines representing the equations intersect at exactly one point.

Front

What is the first step in solving a system of equations by graphing?

Back

Write both linear equations in slope-intercept form.

Front

What is the graphical representation of the equation 2x + 3y = 1?

Back

A straight line on a coordinate plane.