Systems of Equations 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 for two lines to intersect on a graph?

Back

It means that the solution to the system of equations is the point where the two lines meet.

Front

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

Back

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

Front

Back

The slope (m) represents the rate of change of y with respect to x.

Front

Back

4

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 will never intersect.

Front

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

Back

(1, 3)

Front

Back

-2

Front

How do you find the x-intercept of a line?

Back

Set y = 0 in the equation and solve for x.

Front

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

Back

(1, 3)