Solve by Graphing

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 in the system.

Front

What does it mean to solve by graphing?

Back

It means to find the solution to a system of equations by plotting the equations on a graph and identifying their intersection point.

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represent a point on a coordinate plane, where 'x' is the horizontal position and 'y' is the vertical position.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is the slope of a line?

Back

The rate of change of y with respect to x, calculated as the rise over run between two points on the line.

Front

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

Back

If the lines representing the equations 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

It means that the equations represent the same line, and every point on that line is a solution.

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How can you find the intersection point of two lines graphically?

Back

By plotting both lines on the same graph and identifying the point where they cross.

Front

What is the significance of the solution to a system of equations in real-world problems?

Back

It represents the values of the variables that satisfy all conditions of the problem, often corresponding to a specific scenario.