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Algebra 1 5-3 Guided Practice: Slope-Intercept Form

By Matt Richardson
Last updated almost 3 years ago
26 Questions

Solve It! Bamboo can grow very quickly. The graph models the growth of a bamboo plant. Identify the point where the line crosses the vertical (Height) axis.

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Solve It! What does this point where the line crosses the vertical axis tell you about the bamboo plant?

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Solve It! Identify the slope of the line.
HINT: The plant grows in height from 20 feet to 30 feet in the first 10 days.

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Solve It! What does the slope tell you about the bamboo plant?

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Take Note: What is a linear function ?

Take Note: Write the general equation used to represent slope-intercept form?
Hint: use b, m, x, y, and some math characters, but do NOT include spaces.

Take Note: Circle the y-intercept of the line graphed on the canvas. Use a bright color.

Problem 1 Got It? What is the slope of the graph of the equation?

Problem 1 Got It? What is the y-intercept of the graph of the equation?

Graphing: Graph the equation. Zoom and pan your graph to establish an appropriate viewing window.

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Problem 1 Got It? Reasoning: How does the graph of the line y=5x-4 (from the previous items) change if the y-intercept is moved down 3 units and the slope remains unchanged?

Problem 1 Got It? Reasoning: How does the equation of the line y=5x-4 (from the previous items) change if the y-intercept is moved down 3 units and the slope remains unchanged?

Problem 1 Got It? What are the slope and y -intercept of the graph of the equation?

  • -\frac{1}{2}
  • 2/3
  • 1/2
  • -\frac{2}{3}
  • Slope
  • y-intercept

Graphing: Graph the equation. Zoom and pan your graph to establish an appropriate viewing window.

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Problem 2 Got It?

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Problem 3 Got It? What do you expect the slope of the line to be (simply from looking at the graph)?

Problem 3 Got It? What is the slope of the line shown in the image?

Problem 3 Got It? Where is the y-intercept of the line shown in the image?

Problem 3 Got It? What are the coordinates of the y-intercept of the line shown in the image?

Problem 3 Got It? What is an equation of the line shown in the graph?
HINT: Recall slope-intercept form.

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Problem 4 Got It?

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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.

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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.

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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.

Write your equation in slope-intercept form, 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.

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Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?