Lesson 10: Practice Problems

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Problem 1

For each graph, calculate the slope of the line.

Solution

$\frac{- 2}{6}$
$- 1$
$\frac{- 5}{4}$

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

Solution

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 = $\frac{- 2}{3}$

Solution

Problem 4 From Unit 3 Lesson 8

Make a sketch of a linear relationship with a slope of 4 and a negative $y$ -intercept. Show how you know the slope is 4 and write an equation for the line.

Solution

Answers vary. Sample response:

The equation is $y = 4 x - 2$ . I can tell the slope is 4 by looking at the points $(0, - 2)$ and $(1, 2)$ since $\frac{2 - - 2}{1 - 0} = \frac{4}{1} = 4$ .