Practice Test - Chapter 4
y = 2x
3.
The slope-intercept form of a line is y = mx + b, where m is the slope, and b is the y-intercept.
Plot the y-intercept (0, 3). The slope is
. From (0, 3), move up 2 units and right 1 unit. Plot the point.
Draw a line through the two points.
A popular pizza parlor charges $12 for a large cheese pizza plus $1.50 for each additional
topping. Write an equation in slope-intercept form for the total cost C of a pizza with t toppings.
C = 12t + 1.50
C = 13.50t
C = 12 + 1.50t
C = 1.50t
12
The cost of the additional products is the rate or the slope, so you can eliminate choices A and B. The price of the
large pizza is a constant at $12. Choice D, subtracts 12 from each order, so you can eliminate this choice. The
equation is C = 12 + 1.50t, so the correct choice is C.
Write an equation of a line in slope-intercept form that passes through the given point and has the given
slope.
( 4, 2); slope 3
Find the y-intercept.
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Write the equation in slope-intercept form.
Page 1
The cost of the additional products is the rate or the slope, so you can eliminate choices A and B. The price of the
large Test
pizza-isChapter
a constant
Practice
4 at $12. Choice D, subtracts 12 from each order, so you can eliminate this choice. The
equation is C = 12 + 1.50t, so the correct choice is C.
Write an equation of a line in slope-intercept form that passes through the given point and has the given
slope.
( 4, 2); slope 3
Find the y-intercept.
Write the equation in slope-intercept form.
(3, 5); slope
Find the y-intercept.
Write the equation in slope-intercept form.
Write an equation of the line in slope-intercept form that passes through the given points.
(1, 4), (3, 10)
Find the slope of the line containing the given points.
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Use the slope and either of the two points to find the y-intercept.
Page 2
Practice Test - Chapter 4
Write an equation of the line in slope-intercept form that passes through the given points.
(1, 4), (3, 10)
Find the slope of the line containing the given points.
Use the slope and either of the two points to find the y-intercept.
Write the equation in slope-intercept form.
(2, 5), ( 2, 8)
Find the slope of the line containing the given points.
Use the slope and either of the two points to find the y-intercept.
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Write the equation in slope-intercept form.
Practice Test - Chapter 4
(2, 5), ( 2, 8)
Find the slope of the line containing the given points.
Use the slope and either of the two points to find the y-intercept.
Write the equation in slope-intercept form.
(0, 4), ( 3, 0)
Find the slope of the line containing the given points.
Use the slope and either of the two points to find the y-intercept.
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Page 4
Practice Test - Chapter 4
(0, 4), ( 3, 0)
Find the slope of the line containing the given points.
Use the slope and either of the two points to find the y-intercept.
Write the equation in slope-intercept form.
(7, 1), (9, 4)
Find the slope of the line containing the given points.
Use the slope and either of the two points to find the y-intercept.
Write the equation in slope-intercept form.
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Page 5
Write the equation in slope-intercept form.
Practice Test - Chapter 4
(7, 1), (9, 4)
Find the slope of the line containing the given points.
Use the slope and either of the two points to find the y-intercept.
Write the equation in slope-intercept form.
The data in the table show the size of a room in square feet and the time it takes to paint the room in
minutes.
-intercept form.
Predict the amount of time required to paint a room measuring 750 square feet.
a. Find the slope of the line containing the given points.
Use Manual
the slope
and either
of the
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two points to find the y-intercept.
Page 6
Write the equation in slope-intercept form.
Practice Test - Chapter 4
The data in the table show the size of a room in square feet and the time it takes to paint the room in
minutes.
-intercept form.
Predict the amount of time required to paint a room measuring 750 square feet.
a. Find the slope of the line containing the given points.
Use the slope and either of the two points to find the y-intercept.
Write the equation in slope-intercept form.
b. Substitute 750 for x into the equation from part a.
So it will take 1005 minutes to paint a room that measures 750 square feet.
The table shows the relationship between years of experience and teacher salary.
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Write an equation for the best-fit line.
Page 7
Practice Test - Chapter 4
So it will take 1005 minutes to paint a room that measures 750 square feet.
The table shows the relationship between years of experience and teacher salary.
Write an equation for the best-fit line.
Find the correlation coefficient and explain what it tells us about the relationship between experience and teacher
salary.
a. Use a calculator to find the equation of the regression line.
y = 1.89x + 23.57
b. Use a calculator to find the correlation coefficient. It is 0.98. This means that there is a strong positive correlation
Write an equation in slope-intercept form for the line that passes through the given point and is parallel
to the graph of each equation.
(2, 3), y = 4x 9
The slope of the line with equation y = 4x
11 is 4. The line parallel to y = 4x
11 has the same slope, 4.
Find the y-intercept.
Write the equation in slope-intercept form.
( 5, 1), y = 3x + 2
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The slope of the line with equation y = 3x + 2 is 3. The line parallel to y = 3x + 2 has the same slope, 3.
Page 8
Practice Test - Chapter 4
( 5, 1), y = 3x + 2
The slope of the line with equation y = 3x + 2 is 3. The line parallel to y = 3x + 2 has the same slope, 3.
Find the y-intercept.
Write the equation in slope-intercept form.
Write an equation in slope-intercept form for the line that passes through the given point and is
perpendicular to the graph of the equation.
(1, 4), y = 2x + 5
The slope of the line with equation y = 2x + 5 is 2. The slope of the perpendicular line is the opposite reciprocal of
2, or
.
Find the y-intercept.
Write the equation in slope-intercept form.
( 3, 6), y =
x+2
The slope of the line with equation y =
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, or 4.
is . The slope of the perpendicular line is the opposite reciprocal of
Page 9
Practice Test - Chapter 4
( 3, 6), y =
x+2
The slope of the line with equation y =
is . The slope of the perpendicular line is the opposite reciprocal of
, or 4.
Find the y-intercept.
Write the equation in slope-intercept form.
The graph shows the relationship between outside temperature and daily ice cream cone
sales. What type of correlation is shown?
positive correlation
negative correlation
no correlation
not enough information
As the temperature gets larger, the number of ice cream cones sold also gets larger. This shows that there is a
positive correlation, so the correct choice is F.
ADOPTION The table shows the number of children from Russia adopted by U.S. citizens.
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not enough information
As the
temperature
gets
Practice
Test
- Chapter
4 larger, the number of ice cream cones sold also gets larger. This shows that there is a
positive correlation, so the correct choice is F.
ADOPTION The table shows the number of children from Russia adopted by U.S. citizens.
Write the slope-intercept form of the equation for the line of fit.
Predict the number of children from Russia who will be adopted in 2025.
a.Use a calculator to find the equation of the regression line.
y = 466.3x
1978.5
b.
Find the inverse of each function.
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-1
Write the final equation in slope-intercept form. So, f (x) =
x
6.
Page 11
Practice Test - Chapter 4
Find the inverse of each function.
-1
Write the final equation in slope-intercept form. So, f (x) =
-1
Write the final equation in slope-intercept form. So, f (x) =
Write the final equation in slope-intercept form. So, f
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x
6.
.
--1
(x) = 6x + 12.
Page 12
Practice Test - Chapter 4
--1
Write the final equation in slope-intercept form. So, f (x) = 6x + 12.
Write the final equation in slope-intercept form. So, f
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--1
(x) = x
16.
Page 13