Unit 1 Standard 2 Assignment Packet SOLUTIONS (1)

Name___SOLUTIONS_____
College Algebra
Unit 1 - Standard 2
Assignments
College Algebra
Unit 1 – Standard 2 – Day 1
Assignment #1
Name
I (-2,-1)
J (2,1)
K (-2, 1)
L (-2,0)
M (0,2)
N (3, -3)
Use the graph to determine the average rate of change of each line below.
M = 1/5
M = -4/7
M = -1/3
M = 3/2
Determine the average rate of change of the line passing through each pair of
points.
9. (2, 1), (0, 0)
M =1/2
12. (1, 0), (4, 2)
M = -2/5
15. (-5, 0), (-5, 5)
M = undefinced
10. (4, 5), (6, 2)
M = -3/2
13. (8, 4), (6, 3)
M = -1/14
 1 4  4
16.   ,  ,  8, 
 2 7  7
M=0
11. (3, 8), (7, 3)
M = -5/4
14. (2, 3), (6, 5)
M=1
17. (1, 3), (5, 5)
M =1/2
College Algebra
Unit 1 – Standard 2 – Day 2
Assignment #2
Name
Write the equation of a line in point slope form passing through the given point
with the given slope.
Write the equation of a line in point slope form passing through the two given
points.
Using the given graphs, write an equation of each line in point slope
form
2
y3  x
3
y 3 
1
x
2
7
y 5   x
5
y  5  2x
College Algebra
Unit 1 – Standard 2 – Day 3
Assignment #3
Name
State the slope and y-intercept for each equation.
1) y 
5
x6
2
1
2) y   x
4
M = 5/2, b = - 6
m = -1/4, b = 0
3) y  2
4) y  5 x  11
M = 0, b = 2
m = 5, b = 11
Write an equation in slope-intercept form of the line passing through the given
point and having the given slope.
Write an equation in slope-intercept form of the line passing through the given
points.
College Algebra
Unit 1 – Standard 2 – Day 4
Assignment #4
Name
Rewrite each equation into standard form given point slope form.
Write an equation in standard form of the line passing through the given point
and having the given slope.
Write an equation in standard form of the line passing through the given points.
College Algebra
Unit 1 – Standard 2 – Day 5
Assignment #5
Name
Use the graphs below to find and state the x- and the y-intercepts.
X-int: (1,0)
Y-int: (0,3)
X-int: (4,0)
Y-int: (0,2)
X-int: (2,0)
Y-int: (0,- 3)
X-int: (-3,0)
Y-int: (0,1)
Determine the x- and the y-intercepts for each linear equation.
Then graph the line using the intercepts.
College Algebra
Unit 1 – Standard 2 – Day 6
Assignment #6
Name
Classify each pair of equations as representing lines that are parallel,
perpendicular, or neither.
1)
4 x  5 y  10
5 x  4 y  16
2)
x5
y 5
Neither
Perpendicular
7
y   x 8
3)
3
7x  3y  9
4)
Parallel
Neither
2x  3y  7
2x  3y  8
Write the slope-intercept form of the equation of the line described.
College Algebra
Unit 1 – Standard 2 – Day 7
Assignment #7
Name
Classify each pair of equations as representing lines that are parallel,
perpendicular, or neither.
7
y   x 8
1)
3
3x  7 y  9
2)
Perpendicular
Parallel
3)
y  10
y  4
4)
Parallel
4x  3y  7
4x  3y  8
x0
y4
Perpendicular
Write the slope-intercept form of the equation of the line described.
College Algebra
Unit 1 – Standard 2 – Day 8
Assignment #8
Name
Using the given graphs, write an equation of each line in slope-intercept
form.