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

By Matt Richardson
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Last updated about 2 years ago
26 Questions
5
1.
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.
A.SSE.1.a
F.LE.5
5
2.
Solve It! What does this point where the line crosses the vertical axis tell you about the bamboo plant?
A.SSE.1.a
F.LE.5
5
3.
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.
A.SSE.1.a
F.LE.5
5
4.
Solve It! What does the slope tell you about the bamboo plant?
A.SSE.1.a
F.LE.5
10
5.
Take Note: What is a linear function ?
10
6.
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.
5
7.
Take Note: Circle the y-intercept of the line graphed on the canvas. Use a bright color.
5
8.
Problem 1 Got It? What is the slope of the graph of the equation?
5
9.
Problem 1 Got It? What is the y-intercept of the graph of the equation?
10
10.
Graphing: Graph the equation. Zoom and pan your graph to establish an appropriate viewing window.
F.IF.7.a
A.CED.2
5
11.
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?
5
12.
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?
10
13.
Problem 1 Got It? What are the slope and y -intercept of the graph of the equation?
  • 1/2
  • -\frac{1}{2}
  • -\frac{2}{3}
  • 2/3
  • Slope
  • y-intercept
10
14.
Graphing: Graph the equation. Zoom and pan your graph to establish an appropriate viewing window.
F.IF.7.a
A.CED.2
10
15.
Problem 2 Got It?
A.CED.2
5
16.
Problem 3 Got It? What do you expect the slope of the line to be (simply from looking at the graph)?
5
17.
Problem 3 Got It? What is the slope of the line shown in the image?
5
18.
Problem 3 Got It? Where is the y-intercept of the line shown in the image?
5
19.
Problem 3 Got It? What are the coordinates of the y-intercept of the line shown in the image?
5
20.
Problem 3 Got It? What is an equation of the line shown in the graph?
HINT: Recall slope-intercept form.
A.CED.2
F.LE.2
10
21.
Problem 4 Got It?
A.CED.2
F.LE.2
10
22.
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.
F.IF.7.a
A.CED.2
10
23.
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.
F.IF.7.a
A.CED.2
10
24.
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
10
25.
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.
A.SSE.1.a
F.IF.7.a
A.CED.2
10
26.
Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?