Algebra 1 5-4 Complete Lesson: Point-Slope Form
star
star
star
star
star
Posljednje ažuriranje almost 6 years ago
24 questions
10
F.IF.7.a
10
10
10
F.LE.2
10
F.IF.7.a
10
F.LE.2
10
10
A.SSE.2
10
10
10
10
10
10
10
10
100
10
F.LE.2
Solve It! The red line shows the altitude of a hot-air balloon during its linear descent. What is an equation of the line in slope-intercept form? Hint: What is the altitude of the balloon when it starts its descent at x = 0?
Problem 1 Got It?
Problem 2 Got It? What is the graph of the 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 3 Got It? In the last step of Problem 3, use the point (-2, -3) instead of (1, 4) to write an equation of the line.
Problem 4 Got It? The table shows the number of gallons of water y in a tank after x hours. The relationship is linear. What is an equation in point-slope form that models the data? What does the slope represent?
Problem 4 Got It? Reasoning: Rewrite the equation from the previous item in slope-intercept form. What does the y-intercept represent?
What are the slope and one point on the graph of the equation below?
What is an equation of the line that passes through the point (3, -8) and has slope -2?
What is an equation of the line that passes through the points (-1, -2) and (2, 4)?
What is the graph of the equation below?
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.
Vocabulary: What features of the graph of the equation below can you identify?
Reasoning: Does the graph of the equation below include the point (-2, 1)? Explain.
Reasoning: Can any equation in point-slope form also be written in slope-intercept form? Give an example to explain.
Review Lesson 5-3: Match the slopes m and y-intercepts b with their equations.
m = 1
m = -1
m = 6
b = 0
b = 4
b = -13
y = x + 4
y = 6x
y = -x - 13
Review Lesson 2-5: Solve the equation for y.
Review Lesson 2-5: Solve the equation for y.
Review Lesson 2-5: Solve the equation for y.
Vocabulary Review: Classify each equation based on its y-intercept.
y = 3x + 4
y = 4x - 3
y = 5x + 3
y = -3x + 2
Has a y-intercept of 3
Has a y-intercept other than 3
Vocabulary Review: Categorize each equation based on whether or not it is in slope-intercept form.
2x - y = 10
x + 3y + 11 = 0
y - 4 = 2(x + 7)
y = 2x + 6
Slope-intercept form
NOT Slope-intercept form
Vocabulary Review: Classify each statement based on whether or not it is true about the y-intercept of any graph.
occurs where y = 0 on the graph
occurs where x = 0 on the graph
occurs where the graph touches the x-axis
True of the y-intercept of any graph
NOT true of the y-intercept (of at least some graphs)
Use Your Vocabulary: Complete each sentence with the appropriate word from the list.
price
sun
time
The length of a shadow is a function of the angle of the __?__.
The amount of water that has leaked from a leaky faucet is a function of __?__.
The amount of sales tax you pay is a function of the item's __?__.
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? Reasoning: Rewrite the equations in Problem 3 and in the previous item in slope-intercept form. Compare the two rewritten equations. What can you conclude?