Chapter 4 Graphing And Writing Linear Equations - Section 4.7 Writing Equations In Point-Slope Form Worksheet Page 2
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ACTIVITY:
Deriving an Equation
Work with a partner.
y
a. Draw a nonvertical line that passes through the
point (x
, y
).
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1
(x
, y
)
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1
b. Plot another point on your line. Label this point
Math
as (x, y). This point represents any other point on
Practice
O
x
the line.
Construct
c. Label the rise and the run of the line through
Arguments
the points (x
, y
) and (x, y).
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1
How does a graph
d. The rise can be written as y − y
. The run can be written as x − x
.
help you derive
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1
an equation?
Explain why this is true.
e. Write an equation for the slope m of the line using the expressions
from part (d).
f.
Multiply each side of the equation by the expression in the
denominator. Write your result. What does this result represent?
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ACTIVITY:
Writing an Equation
Work with a partner.
Savings Account
For 4 months, you saved $25 a month. You
A
now have $175 in your savings account.
250
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Draw a graph that shows the balance
●
200
in your account after t months.
175
150
Use your result from Activity 2 to
●
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write an equation that represents
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the balance A after t months.
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50
25
0
0 1
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7 8 9 t
Time (months)
4. Redo Activity 1 using the equation you found in Activity 2. Compare the
results. What do you notice?
5. Why do you think y − y
= m(x − x
) is called the point-slope form of
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the equation of a line? Why do you think it is important?
IN YOUR OWN WORDS
How can you write an equation of a line when
6.
you are given the slope and a point on the line? Give an example that is
different from those in Activity 1.
Use what you learned about writing equations using a slope
and a point to complete Exercises 3 – 5 on page 188.
Section 4.7
Writing Equations in Point-Slope Form
185
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