Graphs

Precalculus Enhanced with Graphing Utilities ยท 513 exercises

Q. 53

Find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer.

x- intercept is 2 and y-intercept is -1

2 step solution

Q. 54

Find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer. 

x-intercept is -4 and y-intercept is 4

2 step solution

Q. 55

Find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer. 

Slope undefined, containing the point (2,4)

2 step solution

Q. 56

Find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer. 

Slope undefined, containing the point (3,8)

2 step solution

Q. 57

Find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer. 

Horizontal, containing the point (-3,2)

2 step solution

Q. 58

Find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer. 

Vertical, containing the point (4,-5)

2 step solution

Q. 59

Find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer. 

Parallel to the line y=2x, containing the point (-1,2)

2 step solution

Q. 60

Find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer. 

Parallel to the line y=-3x, containing the point (-1,2)

2 step solution

Q. 61

Find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer. 

Parallel to the line 2x-y=-2, containing the point (0,0)

2 step solution

Q. 62

Find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer. 

Parallel to the line x-2y=-5, containing the point (0,0)

2 step solution

Q. 63

Find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer.  

Parallel to the line x=5, containing the point (4,2)

2 step solution

Q. 64

Find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer.   

Parallel to the line y=5, containing the point (4,2)

2 step solution

Q. 65

Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you prefer.

Perpendicular to the line y=12x+4; containing the point (1,-2).

3 step solution

Q. 66

Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you prefer.

Perpendicular to the line y=2x-3; containing the point (1,-2).

3 step solution

Q. 67

Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you prefer.

Perpendicular to the line 2x+y=2

containing the point (-3,0)

3 step solution

Q. 68

Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you prefer.

Perpendicular to the line x-2y=-5

containing the point (0,4)


3 step solution

Q. 69

Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you prefer.

Perpendicular to the line x=8

Containing the point (3,4)

3 step solution

Q. 70

Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you prefer.

Perpendicular to the line y=8

Containing the point (3,4)

3 step solution

Q. 71

Find the slope and y-intercept of each line. Graph the line by hand. Verify using a graphing utility.

y=2x+3

4 step solution

Q. 72

Find the slope and y-intercept of each line. Graph the line by hand. Verify using a graphing utility.

y=-3x+4

4 step solution

Q. 73

Find the slope and y-intercept of each line. Graph the line by hand. Verify using a graphing utility.

12y=x-1

4 step solution

Q. 74

Find the slope and y-intercept of each line. Graph the line by hand. Verify using a graphing utility.

13x+y=2

4 step solution

Q. 75

Find the slope and y-intercept of each line. Graph the line by hand. Verify using a graphing utility.

y=12x+2

4 step solution

Q. 76

Find the slope and y-intercept of each line. Graph the line by hand. Verify using a graphing utility.

y=2x+12

4 step solution

Q. 77

Find the slope and y-intercept of each line. Graph the line by hand. Verify using a graphing utility.

x+2y=4

4 step solution

Q. 78

Find the slope and y-intercept of each line. Graph the line by hand. Verify using a graphing utility.

-x+3y=6

4 step solution

Q. 79

Find the slope and y-intercept of each line. Graph the line by hand. Verify using a graphing utility.

2x-3y=6

4 step solution

Q. 80

Find the slope and y-intercept of each line. Graph the line by hand. Verify using a graphing utility.

3x+2y=6

4 step solution

Q. 81

Find the slope and y-intercept of each line. Graph the line by hand. Verify using a graphing utility.

x+y=1

4 step solution

Q. 82

Find the slope and y-intercept of each line. Graph the line by hand. Verify using a graphing utility.

x-y=2

4 step solution

Q. 83

Find the slope and y-intercept of each line. Graph the line by hand. Verify using a graphing utility.

x=-4

4 step solution

Q. 84

Find the slope and y-intercept of each line. Graph the line by hand. Verify using a graphing utility.

y=-1

4 step solution

Q. 85

Find the slope and y-intercept of each line. Graph the line by hand. Verify using a graphing utility.

y=5

4 step solution

Q. 86

Find the slope and y-intercept of each line. Graph the line by hand. Verify using a graphing utility.

x=2

4 step solution

Q. 87

Find the slope and y-intercept of each line. Graph the line by hand. Verify using a graphing utility.

y-x=0

4 step solution

Q. 88

Find the slope and y-intercept of each line. Graph the line by hand. Verify using a graphing utility.

x+y=0

4 step solution

Q. 89

Find the slope and y-intercept of each line. Graph the line by hand. Verify using a graphing utility.

2y-3x=0

4 step solution

Q. 90

Find the slope and y-intercept of each line. Graph the line by hand. Verify using a graphing utility.

3x+2y=0

4 step solution

Q. 91

(a) Find the intercepts of the graph of the equation

(b) Graph the equation

2x+3y=6

4 step solution

Q. 92

(a) Find the intercepts of the graph of the equation

(b) Graph the equation

3x-2y=6

4 step solution

Q. 93

(a) Find the intercepts of the graph of the equation

(b) Graph the equation

-4x+5y=40

4 step solution

Q. 94

(a) Find the intercepts of the graph of the equation

(b) Graph the equation

6x-4y=24

4 step solution

Q. 95

7x+2y=21 

(a) find the intercepts of the graph of equation

(b) graph the equation.

4 step solution

Q. 96

5x+3y=18

(a) find the intercepts of the graph of equation

(b) graph the equation.

4 step solution

Q. 97

12x+13y=1

(a) find the intercepts of the graph of equation 

(b) graph the equation.

4 step solution

Q. 98

x-23y=4

(a) find the intercepts of the graph of equation

(b) graph the equation.

4 step solution

Q. 99

0.2x-0.5y=1

(a) find the intercepts of the graph of equation 

(b) graph the equation.

4 step solution

Q. 100

-0.3x+0.4y=1.2

(a) find the intercepts of the graph of equation 

(b) graph the equation.

4 step solution

Q. 101

Find an equation of the x-axis.

3 step solution

Q. 102

Find an equation of the y-axis.

6 step solution

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