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McGraw Hill Glencoe Algebra 1, 2012
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McGraw Hill Glencoe Algebra 1, 2012 View details
Extend: Graphing Technology Lab, The Family of Linear Graphs
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Exercise 2 Page 225

When a linear function is written in slope-intercept form y=mx+b, what do the variables m and b represent?

Diagram with the graphs of the functions y=x+1, y=2x+1, and y=1/4x+1 as drawn on a calculator

Similarities:

  1. All graphs are linear functions.
  2. All graphs have a y-intercept of 1.

Differences:

  1. All graphs have different slopes.
  2. All graphs have a different x-intercept.
Practice makes perfect

We have been asked to graph a set of functions on the same screen and compare them. To graph the functions, we press Y= on our calculator and write the equations in the first three rows.

Illustration of the calculator with the equations to be graphed written

Next, by pressing GRAPH the calculator will plot the equations.

Let's discuss the similarities and differences of the graphs.

Similarities

There are two main similarities:

  1. All graphs are linear functions.
  2. All graphs have a y-intercept of 1.

Differences

There are two main differences:

  1. All graphs have different slopes.
  2. All graphs have a different x-intercept.
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Exercises 3 (Page 225)
Exercises 4 (Page 225)
Exercises 5 (Page 225)
Exercises 6 (Page 225)
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Exercises 16 (Page 225)