Point-Slope Form And Writing Linear Equations Worksheet Page 2
ADVERTISEMENT
1
2
3Write one equation of the line through the given points in point-slope form and
one in standard form using integers.
40. (6, -3), (-2, -3)
41. (0, 0), (-1, -2)
39. (1, 4), (-1, 1)
42. (0, 2), (-4, 2)
43. (-6, 6), (3, 3)
44. (2, 3), (-1, 5)
45. (5, -3), (3, 4)
47. (-7, 1), (5, -1)
46. (2, 2), (-1, 7)
48. (-8, 4), (-4, -2)
49. (2, 4), (-3, -6)
50. (5, 3), (4, 5)
52. (-2, 4), (0, -5)
53. (6, 2), (1, -1)
51. (0, 1), (-3, 0)
54.
Science
At the surface of the ocean, pressure is 1 atmosphere. At 66 ft below
A scuba diver can
descend to about
sea level, the pressure is 3 atmospheres. The relationship of pressure and depth
131 feet.
is linear.
a. Write an equation for the data.
The sub-
b. Predict the pressure at 100 ft below sea level.
mersible
Alvin can
Environment
55.
Worldwide carbon monoxide emissions are decreasing about 2.6
descend to
million metric tons each year. In 1991, carbon monoxide emissions were 79
about 2.5 miles.
million metric tons. Use a linear equation to model the relationship between
In 1960, the
carbon monoxide emissions and time. Let x = 91 correspond to 1991.
submersible Trieste
descended to a
56. a.
Open-Ended
Write an equation in point-slope form that contains the point
record depth of
(-4, -6). Explain your steps.
6.8 miles.
b. How many equations could you write in part(a)? Explain.
How would the graph of y - 12 = 8(x - 2) change if all of
Critical Thinking
57.
the subtraction signs were changed to addition signs?
Is y - 5 = 2(x - 1) an equation of a line through (4, 11)? Explain.
Reasoning
58.
Open-Ended
59.
Write an equation in each of the following forms.
a. slope-intercept form
b. standard form
c. point-slope form
60.
Science
Use the scatter plot.
Effect of Air Temperature
on Speed of Sound
a. Write an equation to model the data.
b. What is the speed of sound at 158C?
c. Predict the speed of sound at 608C.
350
C
C
Challenge
Write an equation in slope-intercept form
340
of each line described below.
330
61. The line contains the point (-3, -5) and has
0
10
20
30
40
the same slope as y + 2 = 7(x + 3).
Temperature (°C)
62. The line contains the point (1, 3) and has the
same y-intercept as y - 5 = 2(x -1).
63. The line contains the point (2, -2) and has the same x-intercept as
y + 9 = 3(x - 4).
64. The table shows data that you can model using
x
y
a linear function.
4
14
a. Find the value of y when x = 6.
8
15.5
b. Find the value of y when x = 120.
12
17
c. Find the value of x when y = 11.
16
18.5
d. Find the value of x when y = 50.
307-309
Chapter 6
Linear Equations and Their Graphs
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education