IM 8.3.11 Practice: Equations of All Kinds of Lines

Suppose you wanted to graph the equation y = -4x - 1
Describe the steps you would take to draw the graph.
How would you check that the graph you drew is correct?
Use the applet to answer the next set of problems:
Draw the following lines and then write an equation for each.
Slope is 0, [math]y[/math]-intercept is 5[br]
Slope is 2, [math]y[/math]-intercept is -1
Slope is -2, [math]y[/math]-intercept is 1
Slope is [math]-\frac{1}{2}[/math], [math]y[/math]-intercept is -1
Write an equation for each line.
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[/img]
[size=150]A publisher wants to figure out how thick their new book will be. The book has a front cover and a back cover, each of which have a thickness of [math]\frac{1}{4}[/math] of an inch. They have a choice of which type of paper to print the book on.[/size][br][br]Bond paper has a thickness of [math]\frac{1}{4}[/math] inch per one hundred pages. Write an equation for the width of the book, [math]y[/math], if it has [math]x[/math] hundred pages, printed on bond paper.
[size=100]Ledger paper has a thickness of [math]\frac{2}{5}[/math] inch per one hundred pages. Write an equation for the width of the book, [math]y[/math], if it has [math]x[/math] hundred pages, printed on ledger paper.[/size]
If they instead chose front and back covers of thickness [math]\frac{1}{3}[/math] of an inch, how would this change the equations in the previous two parts?
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Information: IM 8.3.11 Practice: Equations of All Kinds of Lines