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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.

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

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.

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

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.

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?

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

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

Problem 2 Got It?

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.

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.

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.

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