Homework 12 β Finding Equations of Linesπ¦ βπ¦

Remember the formula: π = π₯2 β π₯1

2

1

Name: _____________________________

and the equations:

π¦ = ππ₯ + π

π¦ β π¦1 = π(π₯ β π₯1 )

1. Write the equation of the line that contains the points (5, 4) and (7, 9).

2. Write the equation of the line that contains the points (β3, 2) and (4, β7).

3. Write the equation of the line that contains the points (2, 3) and (0, 8).

Homework 13 β Decimals and Percents

Name: _____________________________

1. Change each decimal to a percent. Write your answer on the line.

a)

3.89

________

b)

0.0004

________

c)

0.0023

________

d)

0.45

________

e)

0.067

________

2. Change each percent to a decimal. Write your answer on the line.

a)

35%

________

b)

7%

________

c)

0.04%

________

d)

24.3%

________

e)

0.009%

________

STAT0086 Co-Requisite β Lesson 12

Finding Equations of Lines

Slope-Intercept Form

vs.

Point-Slope Form

π¦ = ππ₯ + π

π¦ β π¦1 = π(π₯ β π₯1 )

Use this form when you know the

slope and π¦-intercept.

Use this form when you

know the slope and a point on

the line that is not the π¦intercept.

Example:

a) Write the equation of the line that has slope 2 and a π¦-intercept of (0, β3).

1

b) Write the equation of the line that has slope β 3 and a y-intercept of (0, 8).

c) Write the equation of the line that has slope β1 and contains the point (4, 5).

d) Write the equation of the line that has slope 4 and contains the point (β3, 7).

2

e) Write the equation of the line that has slope β 3 and contains the point (2, β9).

f) Write the equation of the line that contains the points (β4, 8) and (1, β1).

g) Write the equation of the line that contains the points (1, 16) and (0, 7).

STAT0086 Co-Requisite β Lesson 13

Decimals and Percents

The word percent comes from the Latin per centum, meaning per hundred. It is the ratio of the

number to 100. The symbol % is called the percent sign.

To change a Percent to a Decimal:

1. Locate the position of the decimal point. Move it 2 places to the left.

2. Delete the % sign.

When moving the decimal point to the left, what mathematical operation is this using?

Example: Convert each percent to a decimal.

a)

40%

b)

211%

c)

0.6%

d)

29.37%

e)

2%

f)

0.52%

g)

232%

h)

10.1%

i)

13.2%

j)

6.5%

To change a Decimal to a Percent:

1. Locate the position of the decimal point. Move it 2 places to the right.

2. Write the % sign.

When moving the decimal point to the right, what mathematical operation is this using?

Why are we moving 2 places? (As opposed to only one place or 3 places?)

Example: Convert each decimal to a percent.

a)

0.34

b)

0.0082

c)

1

d)

5.799

e)

0.02

f)

0.7

g)

0.025

h)

0.0004

i)

2.3

j)

2

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