Solve It! Bamboo can grow very quickly. The graph models the growth of a bamboo plant. Find the point where the line crosses the vertical axis. What does this point tell you about the bamboo plant?
Solve It! Find the slope of the line. What does the slope tell you about the bamboo plant?
Problem 1 Got It? What are the slope and y -intercept of the graph of the equation?
⅔
-⅔
½
-½
Slope
y-intercept
Graphing: Graph the equation. Zoom and pan your graph to establish an appropriate viewing window.
Problem 1 Got It? Reasoning: How do the graph of the line and the equation of the line in the previous item change if the y-intercept is moved down 3 units?
Problem 2 Got It?
Problem 3 Got It? What do you expect the slope of the line to be from looking at the graph?
Problem 4 Got It?
Problem 5 Got It? Graph the linear equation.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.
Problem 5 Got It? Graph the linear equation.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.
Problem 6 Got It? A plumber charges a $65 fee for a repair plus $35 per hour. Write an equation to model the total cost y of a repair that takes x hours.
Enter your equation with spaces on each side of operation symbols and the equal sign, like this: y = 27x + 93
Problem 6 Got It? A plumber charges a $65 fee for a repair plus $35 per hour. Construct a graph to model the total cost.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.
What is an equation of the line with slope 6 and y-intercept -4?
What equation in slope-intercept form represents the line that passes through the points (-3, 4) and (2, -1)?
What is the graph of y = 5x + 2?
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.
Vocabulary: Is y = 5 a linear equation? Explain.
Reasoning: Is it always, sometimes, or never true that an equation in slope-intercept form represents a direct variation?
Reasoning: Explain your response above.
Writing: Describe two different methods you can use to graph the equation y = 2x + 4. Which method do you prefer? Explain.
Review Lesson 5-2: Suppose y varies directly with x. Match the given values of x and y with the direct variation equations.
y = 5 when x = 1
y = 8 when x = 4
y = 9 when x = 3
y = 2x
y = 3x
y = 5x
Review Lesson 2-2: Solve the equation on the canvas. Justify each step.
Review Lesson 1-7: Simplify the expression.
Review Lesson 1-7: Simplify the expression.
Write your answer with a space on each side of the operation symbol, like this: 2x + 10
Review Lesson 1-7: Simplify the expression.
Write your answer with a space on each side of the operation symbol, like this: 2x + 10
Vocabulary Review: Which equation is NOT a linear equation?
Vocabulary Review: Classify each statement as true or false.
true
false
The graph of a linear equation is always a horizontal line.
The graph of a linear equation is always a straight line.
The graph of a linear equation may be shaped like a "U."
Use Your Vocabulary: Complete each sentence with the correct word from the list.
intercept
intercepted
interception
During a football game, the home team's quarterback threw an __?__.
The y-coordinate of a point where a graph crosses the y-axis is a y-__?__.
The teacher __?__ the message Charlie was passing to his friend.
Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.
For a refresher on the Cornell note-taking system, click here.
Reflection: Math Success
Problem 3 Got It? What is an equation of the line shown in the graph?
Problem 3 Got It? Reasoning: Does the equation of the line depend on the points you use to find the slope?
