HW: 4 - 11/14 (Week 15)

Front

What is the solution to the system of equations?

Back

The solution is the ordered pair that satisfies both equations.

Front

What does the ordered pair (x, y) represent in a system of equations?

Back

It represents a point on the graph where the two equations intersect.

Front

What is a system of equations?

Back

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

Front

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

Back

By plotting both equations on a graph and identifying the point of intersection.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and then substituted into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable.

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 never intersect.

Front

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

Back

It means there are infinitely many solutions, as the lines overlap.

Front

What is the graphical representation of the equation y = mx + b?

Back

It represents a straight line with slope m and y-intercept b.

Front

What is the slope of a line?

Back

The slope is the ratio of the rise (change in y) to the run (change in x) between two points on the line.