MATH 60
3.4 - 3.6 Worksheet --Part B
Name____________________________
w9
Use the slope-intercept form to graph the equation.
28) y = -3x - 5
28)
Objective: (3.5) Use the Slope-Intercept Form to Graph a Linear Equation
29) 4x + 5y = 20
29)
Objective: (3.5) Use the Slope-Intercept Form to Graph a Linear Equation
30) 6x + y = 3
30)
Objective: (3.5) Use the Slope-Intercept Form to Graph a Linear Equation
1
31) 5y = 6x
31)
Objective: (3.5) Use the Slope-Intercept Form to Graph a Linear Equation
Use the slope-intercept form of the linear equation to write an equation of the line with given slope and y-intercept.
2
28
)
32) Slope- ; y-intercept (0,
32)
9
9
Objective: (3.5) Use the Slope-Intercept Form to Write an Equation of a Line
33) Slope 6; y-intercept (0, 3)
33)
Objective: (3.5) Use the Slope-Intercept Form to Write an Equation of a Line
34) Slope-
3
; y-intercept (0, 6)
4
34)
Objective: (3.5) Use the Slope-Intercept Form to Write an Equation of a Line
Find an equation of the line.
35) Horizontal line through (-7, -10)
35)
Objective: (3.6) Find Equations of Vertical and Horizontal Lines
2
36) Horizontal line through 5, 0
36)
Objective: (3.6) Find Equations of Vertical and Horizontal Lines
37) Parallel to x = -12, through (-1, 3)
37)
Objective: (3.6) Find Equations of Vertical and Horizontal Lines
38) Vertical line through (3, 8)
38)
Objective: (3.6) Find Equations of Vertical and Horizontal Lines
39) Parallel to y = 8, through (12, -7)
39)
Objective: (3.6) Find Equations of Vertical and Horizontal Lines
3
Use the point-slope form of the linear equation to find an equation of the line with the given slope and passing through
the given point. Then write the equation in standard form.
1
40) Slope ; through (-1, 7)
40)
9
Objective: (3.6) Use the Point-Slope Form to Find an Equation of a Line Given Its Slope and a
Point of the Line
41) Slope 9; through (1, 7)
41)
Objective: (3.6) Use the Point-Slope Form to Find an Equation of a Line Given Its Slope and a
Point of the Line
42) Slope -5; through (-4, -10)
42)
Objective: (3.6) Use the Point-Slope Form to Find an Equation of a Line Given Its Slope and a
Point of the Line
Find an equation of the line through the given points. Write the equation in standard form.
43) Through (3, 0) and (-5, -3)
Objective: (3.6) Use the Point-Slope Form to Find an Equation of a Line Given Two Points of
the Line
4
43)
44) Through (6, 1) and (0, -4)
44)
Objective: (3.6) Use the Point-Slope Form to Find an Equation of a Line Given Two Points of
the Line
45) Through (4, -1) and (-5, 7)
45)
Objective: (3.6) Use the Point-Slope Form to Find an Equation of a Line Given Two Points of
the Line
Solve. Assume the exercise describes a linear relationship.
46) The average value of a certain type of automobile was $14,520 in 1992 and depreciated to
$7440 in 1997. Let y be the average value of the automobile in the year x, where x = 0
represents 1992. Write a linear equation that models the value of the automobile in terms
of the year x.
46)
Objective: (3.6) Use the Point-Slope Form to Solve Problems
Find an equation of the line described. Write the equation in standard form.
47) Through (-9, 3), parallel to the y-axis
47)
Objective: (3.6) Use the Point-Slope Form to Solve Problems
48) Through (-2, -8), parallel to the x-axis
48)
Objective: (3.6) Use the Point-Slope Form to Solve Problems
5
49) With undefined slope, through (-
7
, -5)
8
49)
Objective: (3.6) Use the Point-Slope Form to Solve Problems
Solve. Assume the exercise describes a linear relationship.
50) When making a telephone call using a calling card, a call lasting 3 minutes costs $0.70. A
call lasting 12 minutes costs $1.60. Let y be the cost of making a call lasting x minutes
using a calling card. Write a linear equation that models the cost of making a call lasting x
minutes.
50)
Objective: (3.6) Use the Point-Slope Form to Solve Problems
51) A vendor has learned that, by pricing carmel apples at $1.50, sales will reach 120
carmel apples per day. Raising the price to $2.25 will cause the sales to fall to 81
carmel apples per day. Let y be the number of carmel apples the vendor sells at x dollars
each. Write a linear equation that models the number of carmel apples sold per day when
the price is x dollars each.
Objective: (3.6) Use the Point-Slope Form to Solve Problems
6
51)