Systems of Equations Graphing (Math)

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean if a system of equations has one solution?

Back

The lines intersect at exactly one point.

Front

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

Back

The lines are parallel and never intersect.

Front

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

Back

The lines are the same, meaning they overlap completely.

Front

How can you determine the solution of a system of equations graphically?

Back

By finding the point where the lines intersect on a graph.

Front

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

Back

(1, 3)

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

3

Front

What is the y-intercept of the line represented by the equation y = -2x + 5?

Back

5

Front

How do you graph the equation y = x - 2?

Back

Start at (0, -2) and use the slope of 1 to find other points.

Front

What is the point of intersection for the equations y = x + 1 and y = x - 3?

Back

No solution (the lines are parallel).