Lesson 9: Practice Problems

Problem 1

For each graph, calculate the slope of the line.

Problem 2

Match each pair of points to the slope of the line that joins them.

$(9, 10)$ and $(7, 2)$
$(- 8, - 11)$ and $(- 1, - 5)$
$(5, - 6)$ and $(2, 3)$
$(6, 3)$ and $(5, - 1)$
$(4, 7)$ and $(6, 2)$

4
$- 3$
$- \frac{5}{2}$
$\frac{6}{7}$

Problem 3

Draw a line with the given slope through the given point. What other point lies on that line?

A x y axis with points A-F plotted. The coordinates are: A (2,7) B (5,-2) C (-4,3) D (10, 5) E (2,0) F (4,-3)

Point A, slope = $- 3$
Point A, slope = $\frac{- 1}{4}$
Point C, slope = $\frac{- 1}{2}$
Point E, slope = $\frac{- 2}{3}$

Problem 4

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

Describe the steps you would take to draw the graph.
How would you check that the graph you drew is correct?

Problem 5

Write an equation for each line.

An x y axis with 4 lines: a red and blue horizontal line and a green and yellow vertical line.

Problem 6 From Unit 5 Lesson 6

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.
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.
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?