Download ME43 Homework #34

HW34
Graph each equation.
x = {-2 ~ 2}
1. y = x
2. x = 2y - 3
3. y = 3x + 1
5. Find the equation of the line whose
slope is 0 and the coordinates of the yintercept are (0,1).
6. Find the equation of the line whose
slope is no slope and the coordinates of
the y-intercept are (2,0).
HW35
HW39:Draw a line with the given slope
m, through the given point.
1. m = zero, (2,5)
2. m = no slope, (0,-3)
3. m = 2, (1,3)
4. m = -1, (-2,3)
a) Which numbered lines have a
positive slope?
b) Which numbered lines have a
negative slope?
c) What slope has the horizontal line 5?
d) What slope has the vertical line 6?
HW36
Find the slope
1. ( 8 , 9 ) and ( 6 , 1 )
2. ( 6 , 6 ) and ( 2 , 3 )
3. ( 4 , 0 ) and ( 8 , 8 )
4. ( 4 , 4 ) and ( 5 , 0 )
5. ( 9 , 7 ) and ( 1 , 5 )
6. ( 2 , 6 ) and ( 3 , 2 )
HW37: In each case, find the slope, yintercept of the line that is the graph of
the equation.
1. y = 3x + 1
2. y - 4x = 6
3. y - 2x = 3
4. 2y = 6x + 4
5. -3y + 9x = -12
HW38
1. Find the slope and
y-intercept for the equation
y = -2x + 3.
2. Find the slope and
y-intercept for the equation
4y = -8x + 12.
3. Find the equation of the line whose
slope is 3 and the coordinates of the yintercept are (0,4).
4. Find the equation of the line whose
slope is -2 and the coordinates of the yintercept are (0,-3).
HW40: Find the x and y intercepts
1. y - 2x= 7
2. y + 3x -10 = 0
3. y = 10x – 3
4. y + 7x = 11
5. y + 20 = 4x
6. y = -12x – 8
HW41:
1. Find the equation of the line whose
slope is 1 and the coordinates of the yintercept are (0,2).
2. Find the equation of the line whose
slope is 3 and the coordinates of the yintercept are (0,-1).
3. Find the equation of the line whose
slope is -2 and the coordinates of the yintercept are (0,-3).
4. Given that the slope of a line is -3 and
the line passes through the point (-2,-1),
write the equation of the line.
HW42: Write the equation
1. (5,-2) and (7,-8)
2. (4,2) and (8,2)
3. (-1,3) and (2,3)
4. (0,0) and (4,4)
5. (3,-6) and (0,0)
HW43
1) Is the equation y = 4x + 2 parallel to
2y - 4x = 3?
2) Is the equation 2y = 3x + 1 parallel to
5y + x = -4?
3)Is the equation 3y = 6x - 1 parallel to
2y + 4x = 3?
4)Find the slope of a line parallel to a
2
line whose slope is
3
5)Find the slope of a line parallel to a
4
line whose slope is 
5
HW48: solve each system of
equation graphically, and check
1) y = 2x + 5
2) x + y = 1
y=x+4
x-y=7
HW44
1) Find the slope of the line
perpendicular to a line whose slope is 2
3) y = -2x+1
y=x+4
2) Find the slope of the line
perpendicular to a line whose slope is -3
3) Find the slope of the line
perpendicular to a line
5
whose slope is 
3
4) Find the slope of a line perpendicular
to the line whose equation is y -x = 2.
5) Find the slope of a line perpendicular
to the line whose equation is 2y -4x = 6.
HW45 Find x
1. l x l + 2 = 20
2. l x l - 6 = 5
3. 3l x l + 9 = 27
4. -2l x l + 6 = 2
5. l x l + 6(2) = 2
6. l x l -2(5) = 6
3) x = 4
y = -3x + 10
4) y = x - 2
y = 3x - 16
HW50: solve each system of
equations by using substitution to
eliminate one of the variables.
Check.
1. a = -2b
2. y = x + 1
5a - 3b = 13
x+y=9
3. a = 3b + 1
5b - 2a = 1
HW52 Solve and check:
1. -x - y = -4
-x + 2y = -16
HW46: graph each equation.
1. y = lxl - 1
2. y = lxl + 3
3. y = lx - 1l
4. y = lx + 3l
5. y = 2lxl
3. x + y = 8
x - y = 16
HW47: Graph the system below by
finding the x and y intercepts for
each line and find the solution
HW49:Solve this system of equations
using substitution.
1) y = x + 1
2) x = 5
y = 2x
y=x+2
.
2. 3x + 6y = 18
3x + 3y = -12
4. 2a + 2b = 4
2a - 2b = 10
HW53: Solve the following using
addition.
1. -2x + y = 4
2. 2x + y = 3
8x + y =10
-8x + y = - 8
3. y = 2x – 4
y = -8x + 46
4. -3x +y = 5
x–y=6
HW54: Find the solution and check
1. 5x - 2y = 8
2. 3x + 7y = -2
3x - 7y = -1
2x + y = -3
3. 4x + 3y = -1
5x + 4y = 1
HW55:
1. At a lunch counter, 3 pretzels and
1 cup of soda cost $2.75. Two
pretzels and one cup of soda cost
$2. Find the cost of a pretzels and a
soda
2. The owner of a man's clothing
store bought six belts and eight hats
for $140. A week later, at the same
prices, he bought nine belts and six
hats for $132. Find the price of a belt
and the price of a hat