# Lesson 11

Equations of All Kinds of Lines

### Problem 1

Suppose you wanted to graph the equation $$y=\text-4x-1$$.

1. Describe the steps you would take to draw the graph.

2. How would you check that the graph you drew is correct?

### Solution

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### Problem 2

Draw the following lines and then write an equation for each.

1. Slope is 0, $$y$$-intercept is 5
2. Slope is 2, $$y$$-intercept is -1
3. Slope is -2, $$y$$-intercept is 1
4. Slope is $$\text-\frac{1}{2}$$, $$y$$-intercept is -1

### Solution

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### Problem 3

Write an equation for each line.

### Solution

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### Problem 4

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 $$\frac{1}{4}$$ of an inch. They have a choice of which type of paper to print the book on.

1. Bond paper has a thickness of $$\frac{1}{4}$$ inch per one hundred pages. Write an equation for the width of the book, $$y$$, if it has $$x$$ hundred pages, printed on bond paper.
2. Ledger paper has a thickness of $$\frac{2}{5}$$ inch per one hundred pages. Write an equation for the width of the book, $$y$$, if it has $$x$$ hundred pages, printed on ledger paper.
3. If they instead chose front and back covers of thickness $$\frac{1}{3}$$ of an inch, how would this change the equations in the previous two parts?

### Solution

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(From Unit 3, Lesson 7.)