Linear Equations 26 Chapter 1 Problems 35–44, find an equation for the line with the given properties. Express the answer using the general form or the slope-intercept form, whichever you prefer. Q 49. The figure below shows the graph of two paralle Which of the following pairs of equations might hav= 35. Parallel to the line y = 4x; containing the point (-1, 2) graph? (a) x - 2y = 3 x + 2y = 7 %3D %3D 36. Parallel to the line y =-3x; containing the point (-1, 2) 37. Parallel to the line 2x- y= -2; containing the point (0, 0) 38. Parallel to the line x- 2y -5; containing the point (0, 0) 3; containing the point (4, 2) (b) x + y = 2 *+y = -1 39. Parallel to the line x = %3D (c) x -y = -2 x-y = 1 40. Parallel to the line y = 3; containing the point (4, 2) 41. Perpendicular to the line y = 2x - 5; containing the point (-1, -2) (d) x-y = -2 2x - 2y = -4 %3D %3D 42. Perpendicular to the line 6x – 2y = -5; containing the point (-1, -2) %3D (e) x + 2y = 2 x + 2y = -1 %3D 43. Perpendicular to the line y = 2x - 5; containing the %3D 1 4 point Q 50. The figure below shows the graph of two pe lines. Which of the following pairs of equations such a graph? 3'5 44. Perpendicular to the line y = 3x – 15; containing the 2 3 point (a) y – 2x = 2 y + 2x = -1 3'5 %3D Y A 45. Find t so that tx - 4y = -3 is perpendicular to the line 2x + 2y = 5. (b) y - 2x = 0 2y + x = 0 %3D 46. Find t so that (1, 2) is a point on the line tx - 3y = -4. %3D 47. Find the equation of the line containing the point (-2, -5) and perpendicular to the line containing the points (-2, 9) and (3, - 10). (c) 2y - x = 2 2y + x = -2 (d) y - 2x = 2 48. Find the equation of the line containing the point (-2,-5) and perpendicular to the line containing the points (-4, 5) and (2, – 1). x + 2y = -1 (e) 2x + y = -2 2y + x = -2 %3D 1.3 Applications: Prediction; Break-Even Point; Mixture Problems; Eco OBJECTIVE 1 Solve applied problems Solve applied problems 1 In this section we
Linear Equations 26 Chapter 1 Problems 35–44, find an equation for the line with the given properties. Express the answer using the general form or the slope-intercept form, whichever you prefer. Q 49. The figure below shows the graph of two paralle Which of the following pairs of equations might hav= 35. Parallel to the line y = 4x; containing the point (-1, 2) graph? (a) x - 2y = 3 x + 2y = 7 %3D %3D 36. Parallel to the line y =-3x; containing the point (-1, 2) 37. Parallel to the line 2x- y= -2; containing the point (0, 0) 38. Parallel to the line x- 2y -5; containing the point (0, 0) 3; containing the point (4, 2) (b) x + y = 2 *+y = -1 39. Parallel to the line x = %3D (c) x -y = -2 x-y = 1 40. Parallel to the line y = 3; containing the point (4, 2) 41. Perpendicular to the line y = 2x - 5; containing the point (-1, -2) (d) x-y = -2 2x - 2y = -4 %3D %3D 42. Perpendicular to the line 6x – 2y = -5; containing the point (-1, -2) %3D (e) x + 2y = 2 x + 2y = -1 %3D 43. Perpendicular to the line y = 2x - 5; containing the %3D 1 4 point Q 50. The figure below shows the graph of two pe lines. Which of the following pairs of equations such a graph? 3'5 44. Perpendicular to the line y = 3x – 15; containing the 2 3 point (a) y – 2x = 2 y + 2x = -1 3'5 %3D Y A 45. Find t so that tx - 4y = -3 is perpendicular to the line 2x + 2y = 5. (b) y - 2x = 0 2y + x = 0 %3D 46. Find t so that (1, 2) is a point on the line tx - 3y = -4. %3D 47. Find the equation of the line containing the point (-2, -5) and perpendicular to the line containing the points (-2, 9) and (3, - 10). (c) 2y - x = 2 2y + x = -2 (d) y - 2x = 2 48. Find the equation of the line containing the point (-2,-5) and perpendicular to the line containing the points (-4, 5) and (2, – 1). x + 2y = -1 (e) 2x + y = -2 2y + x = -2 %3D 1.3 Applications: Prediction; Break-Even Point; Mixture Problems; Eco OBJECTIVE 1 Solve applied problems Solve applied problems 1 In this section we
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Transcribed Image Text:Linear Equations
26
Chapter 1
Problems 35–44, find an equation for the line with the given properties. Express the answer using
the general form or the slope-intercept form, whichever you prefer.
Q 49. The figure below shows the graph of two paralle
Which of the following pairs of equations might hav=
35. Parallel to the line y = 4x; containing the point (-1, 2)
graph?
(a) x - 2y = 3
x + 2y = 7
%3D
%3D
36. Parallel to the line y =-3x; containing the point (-1, 2)
37. Parallel to the line 2x- y= -2; containing the point (0, 0)
38. Parallel to the line x- 2y -5; containing the point (0, 0)
3; containing the point (4, 2)
(b) x + y = 2
*+y = -1
39. Parallel to the line x =
%3D
(c) x -y = -2
x-y = 1
40. Parallel to the line y = 3; containing the point (4, 2)
41. Perpendicular to the line y = 2x - 5; containing the
point (-1, -2)
(d) x-y = -2
2x - 2y = -4
%3D
%3D
42. Perpendicular to the line 6x – 2y = -5; containing
the point (-1, -2)
%3D
(e) x + 2y = 2
x + 2y = -1
%3D
43. Perpendicular to the line y = 2x - 5; containing the
%3D
1 4
point
Q 50. The figure below shows the graph of two pe
lines. Which of the following pairs of equations
such a graph?
3'5
44. Perpendicular to the line y = 3x – 15; containing the
2 3
point
(a) y – 2x = 2
y + 2x = -1
3'5
%3D
Y A
45. Find t so that tx - 4y = -3 is perpendicular to the
line 2x + 2y = 5.
(b) y - 2x = 0
2y + x = 0
%3D
46. Find t so that (1, 2) is a point on the line tx - 3y = -4.
%3D
47. Find the equation of the line containing the point (-2, -5)
and perpendicular to the line containing the points (-2, 9)
and (3, - 10).
(c) 2y - x = 2
2y + x = -2
(d) y - 2x = 2
48. Find the equation of the line containing the point (-2,-5)
and perpendicular to the line containing the points (-4, 5)
and (2, – 1).
x + 2y = -1
(e) 2x + y = -2
2y + x = -2
%3D
1.3 Applications: Prediction; Break-Even Point; Mixture Problems; Eco
OBJECTIVE
1 Solve applied problems
Solve applied problems 1
In this section we
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