System of Equation Review

Front

What is the format of an ordered pair in a coordinate system?

Back

(x, y)

Front

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

Back

The two lines are identical.

Front

How do you find the solution to a system of equations by graphing?

Back

Plot the equations on a graph and identify the point of intersection.

Front

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

Back

(1, 3)

Front

What is the substitution method in solving systems of equations?

Back

Substituting one equation into another to find the values of the variables.

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

What does it mean for two lines to be parallel in a system of equations?

Back

They have the same slope but different y-intercepts, resulting in no solutions.

Front

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

Back

It represents the solution to the system, where both equations are satisfied.

Front

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

Back

If the lines are parallel, they will never intersect.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.