Solution Sets for Systems of Equations
A system of two linear equations can have no points in common (parallel); one point at which they intersect, or an infinite number of solutions.
Subject: intersect
Transcript: INTERSECT. IN THIS CASE, THE SOLUTION IS THE POINT WHERE THE LINES FOR THE EQUATIONS MEET. IT'S THE ONE POINT THE TWO LINES HAVE IN COMMON. IT'S THE ONLY
Equations Where Slope is the Same But y-intercept is Not
Comparing two equations with the same slope but different y-intercepts.
Subject: intersect
Transcript: POINTS IN COMMON. PARALLEL LINES HAVE THE SAME SLOPE. THEY NEVER INTERSECT. PARALLEL LINES ARE A GOOD EXAMPLE OF THE COMPARISONS WE MAKE IN PRACTICAL
System of Two Equations: A Revenue Graph and a Cost Graph
Using a system of equations to plot a business's break-even point.
Subject: intersect
Transcript: SELLS, THE MORE MONEY IT EARNS. NOTICE THAT THE LINE FOR COST AND THE LINE FOR REVENUE INTERSECT AT THIS POINT. THIS POINT TELLS THE COMPANY SOMETHING