Graphing Linear Functions: Slope and Y-Intercept Mastery

This video tutorial by eMath Instruction covers Unit 4, Lesson 2 on graphing linear functions. It begins with a review of the basics of linear functions, including equations, slope, and y-intercept. The lesson progresses through exercises that involve matching equations to lines, graphing lines from equations, and rewriting equations to identify slope and y-intercept. The tutorial emphasizes understanding the impact of slope and y-intercept on a line's graph and concludes with a summary of the key concepts and skills learned.

What are the two key parameters needed to graph a linear function?

• x-intercept and y-intercept

• Slope and z-intercept

• Slope and y-intercept

• Slope and x-intercept

Which line corresponds to the equation y = -2/3x + 3?

• Line 2

• Line 3

• Line 4

• Line 1

For the equation y = x + 5, what is the slope?

• 0

• -1

• 5

• 1

Which line has a slope of -2 and a y-intercept of -7?

• Line 3

• Line 4

• Line 2

• Line 1

What is the y-intercept of the line y = 3/2x + 4?

• 3

• 3/2

• 4

• 2

How do you calculate the average rate of change between two points?

• Product of x and y

• Delta y over Delta x

• Delta x over Delta y

• Sum of x and y

What is the average rate of change between the points (0, 4) and (4, 10)?

• 1/2

• 3/2

• 2

• 5/2

What property allows you to add the same value to both sides of an equation?

• Distributive Property

• Addition Property of Equality

• Commutative Property

• Multiplication Property of Equality

What is the slope of the line after rearranging the equation 2y - 6x = 12?

• 3

• -6

• -3

• 6

What is the y-intercept of the line y = 3x + 6?

• -3

• 6

• -6

• 3