6/26/2016
Review 8 ­ Equations of Lines­Laura Dostert
Student: _____________________
Date: _____________________
Instructor: Laura Dostert
Course: Summer Math Refresher
Assignment: Review 8 ­ Equations of
Lines
1. Using the slope formula, find the slope of the line through the given points.
(8,0) and (2, − 3)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The slope is . (Simplify your answer.)
B. The slope is undefined.
2. Using the slope formula, find the slope of the line through the given points.
(9, − 7) and ( − 6, − 7)
What is the slope of the line? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The slope of the line is . (Type an integer or a simplified fraction.)
B. The slope of the line is undefined.
3. Find the slope of the line containing the given pair of points. If the slope is undefined, state this.
(8, − 3) and (6, − 5)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The slope is . (Type an integer or a simplified fraction.)
B. The slope is undefined.
4. Find the slope, if it exists, of the line containing the pair of points (6, − 4 ) and (6, − 9 ).
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The slope is . (Simplify your answer. Type an integer or a fraction.)
B. The slope is undefined.
5. Find the slope of the line containing the given pair of points. If the slope is undefined, state this.
( − 4,6) and (3,2)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The slope is .(Type an integer or a simplified fraction.)
B. The slope is undefined.
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Review 8 ­ Equations of Lines­Laura Dostert
6. Determine the slope and y­intercept of the line represented by the equation. Graph the line using the slope and
y­intercept.
7x − 2y = 8
The slope is . (Type an integer or a simplified fraction.)
The y­intercept is . (Type an ordered pair.) Choose the correct graph below.
A.
B.
12
C.
y
12
6
y
12
6
6
­6
12
y
12
6
x
­12 ­6
D.
6
x
­12 ­6
­12
6
­6
12
­12
y
x
­12 ­6
­6
6
12
x
­12 ­6
­12
­6
6
12
­12
7. Write the following equation in slope­intercept form and identify the slope and y­intercept.
3x + 2y = 5
The equation in slope­intercept form is .
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
The slope of the line is (Simplify your answer.)
.
The y­intercept of the line is .
(Simplify your answer. Type an ordered pair.)
8. Determine whether the pair of lines are parallel, perpendicular, or neither.
12x +
4y = 9
12x = 36y + 48
Choose the correct answer below.
A. The lines are perpendicular.
B. The lines are parallel.
C. The lines are neither parallel nor perpendicular.
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Review 8 ­ Equations of Lines­Laura Dostert
9. Determine whether the given pair of lines are parallel, perpendicular, or neither.
3x + 2y = 9
6x = − 4y + 9
Choose the correct answer below.
A. The line are perpendicular.
B. The lines are neither parallel nor perpendicular.
C. The lines are parallel.
10. Write the equation of the line, with the given properties, in slope­intercept form.
Slope = − 6 , through ( − 4 ,6 )
The equation of the line is . (Type an equation. Use integers or fractions for any numbers in the equation. Type your answer in slope­intercept form. Simplify your answer.)
11. Find an equation of the line having the given slope and containing the given point.
m=
8
9
, (2, − 6 )
The equation of the line is .
(Simplify your answer. Type your answer in slope­intercept form. Use integers or fractions for any numbers in the equation.)
12. Write the slope­intercept equation for the line passing through the given pair of points.
(14,5) and (0, − 2)
The slope­intercept equation is .
(Use integers or fractions for any numbers in the equation. Simplify your answer.)
13. Write the equation of the line, with the given properties, in slope­intercept form.
Through ( − 7 , − 5 ) and ( − 5 ,7 )
The equation of the line is . (Simplify your answer. Type your answer in slope­intercept form.)
14. Find the equation of the line described. Write the equation in slope­intercept form. Contains ( − 3,2) and (3, − 2)
The equation of the line is . (Type your answer in slope­intercept form. Use integers or fractions for any numbers in the equation.)
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Review 8 ­ Equations of Lines­Laura Dostert
15. Find an equation of the line. Through ( − 5, − 6) ; parallel to 4x + 5y = 9 The equation of the line is .
(Type your answer in slope­intercept form. Use integers or fractions for any numbers in the equation. Simplify your answer.)
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1.
Review 8 ­ Equations of Lines­Laura Dostert
1
A. The slope is 2
. (Simplify your answer.)
2. A. The slope of the line is 3. A. The slope is 1
0
. (Type an integer or a simplified fraction.)
. (Type an integer or a simplified fraction.)
4. B. The slope is undefined.
5.
A. The slope is −
4
7
.(Type an integer or a simplified fraction.)
6. 7
2
(0, − 4)
12
y
6
x
­12 ­6
y= −
−
6
12
­12
B. 7.
­6
3
2
x+
5
2
3
2
0,
5
2
8. A. The lines are perpendicular.
9. C. The lines are parallel.
10. y = − 6x − 18
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11.
12.
y=
y=
Review 8 ­ Equations of Lines­Laura Dostert
8
9
1
2
x−
70
9
x−2
13. y = 6x + 37
14.
15.
y= −
y= −
2
3
4
5
x
x − 10
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