Solving a System of Equations Graphically Flashcard

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 graphically?

Back

It means to find the point(s) where the graphs of the equations intersect, which represents the solution(s) to the system.

Front

What is the solution to the system of equations y = 2x + 1 and y = 4x - 1?

Back

(1, 3)

Front

How do you find the intersection point of two lines on a graph?

Back

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

Front

What is the slope of the line represented by the equation y = 2x + 1?

Back

The slope is 2.

Front

What is the y-intercept of the equation y = -3x + 9?

Back

The y-intercept is 9.

Front

What does the term 'y-intercept' refer to?

Back

The point where a line crosses the y-axis.

Front

What is the solution to the system of equations y = 1/2x + 2 and y = -3x + 9?

Back

(2, 3)

Front

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

Back

A straight line with a slope of -2 and a y-intercept of 1.

Front

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

Back

It means they have the same slope and will never intersect, indicating no solution.