Graphing Linear Functions: Equations and Word Problems

The video tutorial covers graphing linear functions, starting with a review of slope and y-intercept. It explains how to graph equations using these concepts and then applies this knowledge to graph linear functions from word problems. The tutorial emphasizes the importance of understanding both the mathematical and practical aspects of graphing, encouraging students to practice both on paper and digitally.

What is the format for all y-intercepts?

• y, 0

• x, y

• x, 0

• 0, y

What does the top number in a slope fraction represent?

• X-intercept

• Rise

• Y-intercept

• Run

How do you rewrite a whole number slope as a fraction?

• By writing it over 1

• By dividing the number by 2

• By multiplying the number by 2

• By adding 1 to the number

What should you do if the slope is negative?

• Go down and to the left

• Go up and to the right

• Go down and to the right

• Go up and to the left

What is the y-intercept of the equation y = -1/2x?

• 0, 1

• 0, -1

• 0, 0

• 1, 0

What is the first step in graphing linear functions from word problems?

• Plot the points

• Construct an equation

• Find the y-intercept

• Find the slope

If a word problem does not provide a slope or y-intercept, what should you look for?

• The x-intercept

• The origin

• Two points

• The slope-intercept form

In the word problem about Mr. Lamar mowing grass, what is the slope?

• 1 yard

• $20

• 2 yards

• $40

In the word problem about Mr. Moss and his cat food, what is the y-intercept?

• 0, 40

• 20, 0

• 0, 20

• 40, 0

What is the slope in the word problem about Mr. Morris renting a tent?

• $100 per day

• $75 per day

• $50 per day

• $200 per day