Solving Systems of Equations by Graphing

The video tutorial covers lesson 5-2, focusing on solving systems of equations by graphing. It explains the three possible outcomes when graphing two lines: intersecting, parallel, or overlapping. The tutorial includes examples, such as comparing cell phone plans, to illustrate how to find solutions using graphs. It also demonstrates converting equations to slope-intercept form and graphing them to determine the number of solutions. The lesson concludes with a summary of key points and a reminder to print materials for future graphing exercises.

What is the main objective of Lesson 5-2?

• To learn how to solve systems by substitution

• To find the solution to a system of equations using graphs

• To understand the concept of inequalities

• To learn about quadratic equations

What are the three types of systems that can be identified by graphing?

• Diverging, Converging, Parallel

• Intersecting, Overlapping, Parallel

• Overlapping, Converging, Parallel

• Intersecting, Diverging, Converging

In the cell phone plan example, what is the initial cost of Plan A?

• $0.25

• $20

• $75

• $70

At what point do the costs of Plan A and Plan B intersect?

• (100, 70)

• (100, 95)

• (300, 95)

• (300, 70)

What is the slope of the equation y = x - 4?

• -4

• 4

• 1

• -1

What is the y-intercept of the equation y = x - 4?

• 4

• -4

• 1

• -1

What is the solution to the system where the lines are parallel?

• Infinitely many solutions

• Two solutions

• No solution

• One solution

What is the slope of the equation y = -5x - 3?

• -5

• 5

• 3

• -3

How many solutions are there when two lines are the same?

• Two solutions

• No solution

• One solution

• Infinitely many solutions

What is the y-intercept of the equation y = -1/3x + 7?

• 7

• -1/3

• 2

• -7