Open Up - Grade 8 - Mathematics - Unit 3 - Lesson 11

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

Describe the steps you would take to draw the graph.

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

ow would you check that the graph you drew is correct?

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 \frac{-1}{2}, y-intercept is -1

Write an equation for the Green line.

Write an equation for the Yellow line.

Write an equation for the Red line.

Write an equation for the Blue line.

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.

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.

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.

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 bond paper.

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.

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?