Ohio State University Finding Equations of Lines Questions

Homework 12 – Finding Equations of Lines𝑦 −𝑦
Remember the formula: 𝑚 = 𝑥2 − 𝑥1
2
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Name: _____________________________
and the equations:
𝑦 = 𝑚𝑥 + 𝑏
𝑦 − 𝑦1 = 𝑚(𝑥 − 𝑥1 )
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 (−3, 2) and (4, −7).
3. Write the equation of the line that contains the points (2, 3) and (0, 8).
Homework 13 – 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 – Lesson 12
Finding Equations of Lines
Slope-Intercept Form
vs.
Point-Slope Form
𝑦 = 𝑚𝑥 + 𝑏
𝑦 − 𝑦1 = 𝑚(𝑥 − 𝑥1 )
Use this form when you know the
slope and 𝑦-intercept.
Use this form when you
know the slope and a point on
the line that is not the 𝑦intercept.
Example:
a) Write the equation of the line that has slope 2 and a 𝑦-intercept of (0, −3).
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b) Write the equation of the line that has slope − 3 and a y-intercept of (0, 8).
c) Write the equation of the line that has slope −1 and contains the point (4, 5).
d) Write the equation of the line that has slope 4 and contains the point (−3, 7).
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e) Write the equation of the line that has slope − 3 and contains the point (2, −9).
f) Write the equation of the line that contains the points (−4, 8) and (1, −1).
g) Write the equation of the line that contains the points (1, 16) and (0, 7).
STAT0086 Co-Requisite – 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)
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