Graphing System of Equations

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

Finding the point(s) where the graphs of the equations intersect.

Front

What is the solution to a system of equations?

Back

The values of the variables that satisfy all equations in the system.

Front

What does it mean if a system of equations has no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

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

Back

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

Front

How do you determine the solution of a system of equations from a graph?

Back

Identify the coordinates of the intersection point of the lines.

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

What is the significance of the y-intercept in a graph?

Back

It is the point where the line crosses the y-axis (x=0).

Front

How can you tell if two lines are parallel from their equations?

Back

If they have the same slope (m) but different y-intercepts (b).

Front

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

Back

A straight line with a slope of 2 and a y-intercept of 3.