Linear Equations and Graphing Concepts

This video tutorial covers solving systems of linear equations by graphing. It begins with an introduction to the concept and success criteria, followed by examples of graphing linear equations to find their intersection points. The tutorial includes a practical word problem involving football scores, demonstrating how to apply systems of equations in real-world scenarios.

What is a system of linear equations?

• A single linear equation

• A set of two or more linear equations with the same variables

• A polynomial equation

• A quadratic equation

What is the solution to a system of linear equations?

• The point where the graphs of the equations intersect

• The slope of the first equation

• The y-intercept of the first equation

• The x-intercept of the second equation

How do you determine the slope from the equation y = 2x + 5?

• The slope is 2

• The slope is -5

• The slope is 5

• The slope is -2

What is the ordered pair where the lines y = 2x + 5 and y = -4x - 1 intersect?

• (5, 0)

• (-1, 3)

• (3, -1)

• (0, 5)

Why is it important to plot as many points as possible when graphing by hand?

• To make the graph look more colorful

• To ensure the graph is as accurate as possible

• To use up more graph paper

• To make the lines longer

What is the first step in converting the equation -x + 2y = -4 to slope-intercept form?

• Subtract 2y from both sides

• Add x to both sides

• Divide both sides by -4

• Multiply both sides by 2

In the equation y = 1/2x - 2, what is the y-intercept?

• -2

• 1/2

• 0

• 2

How many field goals did the kicker make if the total score is 12 points and there are 8 kicks in total?

• 6

• 4

• 3

• 2

What is the equation for the total number of kicks if x is extra points and y is field goals?

• x + y = 12

• x + y = 8

• x + 3y = 12

• 3x + y = 8

What is the slope of the line represented by the equation y = -1/3x + 4?

• -4

• 4

• 1/3

• -1/3