Solving Systems of Equations by Graphing

The video tutorial covers graphing systems of equations, explaining the types of solutions: no solution, one solution, and infinitely many solutions. It demonstrates using Desmos for graphing and provides examples of identifying solutions. The tutorial also includes a practical problem involving savings accounts to illustrate the concept of systems of equations.

What is the solution to a system of equations when the lines intersect at one point?

• No solution

• One solution

• None of the above

• Infinitely many solutions

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

• They have one solution

• They have no solution

• They have infinitely many solutions

• They intersect at multiple points

In Desmos, what indicates that two lines have no solution?

• The lines are parallel and do not touch

• The lines form a right angle

• The lines overlap completely

• The lines intersect at one point

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

• They have infinitely many solutions

• They intersect at two points

• They have one solution

• They have no solution

How can you determine if two lines will never intersect?

• They form a right angle

• They have the same slope but different y-intercepts

• They have the same slope and same y-intercept

• They have different slopes

What is the importance of the y-intercept when determining if two lines are the same?

• It is not important

• It shows where the line crosses the y-axis

• It shows where the line crosses the x-axis

• It determines the slope

If two lines have the same slope but different y-intercepts, what can be concluded?

• They will form a right angle

• They will overlap completely

• They will never intersect

• They will intersect at one point

In the real-world problem involving savings accounts, why will the two boys never have the same amount in their accounts?

• They start with different amounts and save the same amount each week

• They save different amounts each week

• They start with the same amount but save different amounts each week

• They have different interest rates

What is the equation for Colin's savings account?

• y = 850 + 15.75x

• y = 850 + 15x

• y = 750 + 15.75x

• y = 750 + 15x

What is the equation for James's savings account?

• y = 850 + 15x

• y = 750 + 15x

• y = 850 + 15.75x

• y = 750 + 15.75x