Systems of equations graphing

Front

What is the solution (x, y) to a system of equations?

Back

The point where the two equations intersect.

Front

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

Back

The two lines represented by the equations are intersecting lines.

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

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

Back

If the lines are parallel and never intersect.

Front

What is the graphical representation of a system of equations?

Back

Two or more lines on a coordinate plane.

Front

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

Back

The two lines are coincident, meaning they lie on top of each other.

Front

What is the first step in solving a system of equations graphically?

Back

Graph each equation on the same coordinate plane.

Front

What is the significance of the intersection point of two lines in a system of equations?

Back

It represents the solution to the system.

Front

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

Back

3

Front

How do you find the x-intercept of a linear equation?

Back

Set y = 0 and solve for x.