Solving Systems by 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 by graphing?

Back

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

Front

What is the solution to a system of equations?

Back

The point where the two lines intersect, representing the values of the variables that satisfy both equations.

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represent a point on a graph.

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 never intersect.

Front

What does it mean if two lines are coincident?

Back

It means they are the same line, and there are infinitely many solutions.

Front

How can you check if a point is a solution to a system of equations?

Back

Substitute the x and y values of the point into both equations to see if they hold true.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis, represented as (0, y).

Front

What is the slope of a line?

Back

The rate at which y changes for a change in x, often represented as 'm' in the equation y = mx + b.

Front

What is the x-intercept of a line?

Back

The point where the line crosses the x-axis, represented as (x, 0).