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103
103
106 1 140 1
Problem
Find the x-intercept and y-intercept for the line.
y-intercept is -7 or (0,-7)
x-intercept is 3 or (3,0)
Verify that (2, 3) is a solution to
Bitt13.1-1
106 14 140 7
Problem
Blit8.1-3
Blit1.1-41
Bitt9.2-3
1
Problem
Problem
Find the slope of the line through the pair of points
(-2,1) and (2,2).
Find the slope of the line through the pair of points
(-2,4) and (-1,-1).
Determine whether the line rises, falls, is vertical or
is horizontal.
The line rises from left to right.
Determine whether the line rises, falls, is vertical
or is horizontal.
The line falls from left to right.
Problem
Problem
Find the slope-intercept equation of the line that
has slope 2 and contains the point (3, 0).
Find the slope-intercept equation of the line that
contains the points (12, 16) and (1, 5).
2
103
106 140 34
103
Problem
Find the slope and y-intercept of the line with
equation y = 2x + 1 and graph the line.
Problem
Use the y-intercept and slope to draw the line for
the equation
The slope is m = 2
The y-intercept is b = 1
Blit2.3-39
Bitt9.5-23
106 50 140
Bitt9.5-13
103
103
106 4 140
Problem
106 8 140 3
Problem
Solve the system by graphing.
Solve:
x + 3y = 8
y = 2x  9
x
0
y
-2
2
0
x
y
0
6
6
0
x + 3(2x  9) = 8
y = 2(5)  9
x + 6x  27 = 8
y = 10  9
7x = 35
The solution is (4, 2)
y=1
x=5
The solution to the system of equations is (5, 1).
Bitt13.1-11
Bitt13.2-1
Blit8.1-x
Blit8.1-7
3
103
106 10 140
103
Problem
Problem
The perimeter of a basketball court is 288 ft and the
length is 44 ft longer than the width. Find the
dimensions of the court.
Solve:
The solution to the system of equations is
Bitt13.2-11
106 12 140
Blit8.1-13
.
The court is 50 ft wide and 94 ft long.
Bitt13.2-19
Blit8.1-77
103
106 16 140 7
103
Problem
Solve:
106 15 140 12
Problem
4x + 3y = 15
3y = 2x  4
Solve the system
2x  5y = 1
6y = 4x  3
Eliminate x.
4x + 3y = 15
2x  5(1) = 1
 4x + 10y =  2
2x  5 = 1
13y = 13
2x = 6
y=1
x=3
 6y =  4x + 8
0=5
There are no values of x and y for which 0 = 5. So
this system has no solution. The graphs of the
equations are of parallel lines.
The solution is (3, 1).
Bitt13.3-15
4x  3
6y =
Bitt13.3-11
Blit8.1-25
Blit8.1-41mml
4
103
106 18 140 9
103
Problem
Problem
Solve the system
y = 3x  5
21x  35 = 7y
 21x + 35 = 7y
106 19 140
In one game, the Spurs scored 85 points on a
combination of 39 two- and three-point baskets.
How many of each type shot were made?
2-pt
3-pt
shots
x
y
Total
39
points
2x
3y
85
21x  35 = 7y
0=0
The equation 0 = 0 indicates that the equations are
dependent. There are infinitely many solutions.
The graphs of the equations are identical.
The Spurs made 32 two-point shots and 7 threepoint shots.
Bitt13.3-29
Blit8.1-33
Bitt13.4-1
Blit8.1-77
103
106 22 140
Problem
Problem
Solve the system
(1)
(2)
(3)
Arbitrarily choose to eliminate y from equations (1) and (3).
How many liters of 50% acid and 80% acid must be
mixed to make 100 L of a 68% acid solution?
50% 80%
quantity
acid
68%
x
y
100
0.5x
0.8y
0.68(100)
40 L of 50% acid and 60 L of 80% acid are required
to make 100 L of 68% acid.
Bitt13.4-13
The triple (2, 1, 1) is the solution of this system.
Blit8.1-79
Blit8.2-7
5
Problem
$6700 invested in parts at 8%, 10% and 12% returned $716
in one year. The amount invested at 12% was $300 more
than the amount invested at 8% and 10% combined. Find
the amount invested at each rate.
Problem
Find the quadratic function
whose
graph passes through the points (-1,6), (1,4),
and (2,9).
x
y
-1
1
2
Blit8.2-37
Blit8.2-19
6
4
9