Write the equation of each line with the given slope and y-intercept. See Example 2.
27.Undefined slope, 28.Undefined slope,
Graph each equation by using the slope and y-intercept. See Example 3.
Graph each line passing through the given point and having the given slope. (In Exercises
45– 48, recall the types of lines having slope 0 and undefined slope.) See Example 4.
40. 41. 42.
43. 44.
45. 46.
- undefined slope 48. undefined slope
49.Concept Check What is the common name given to a vertical line whose x-intercept is
the origin?
50.Concept Check What is the common name given to a line with slope 0 whose y-intercept
is the origin?
Write an equation for each line passing through the given point and having the given slope.
Give the final answer in slope-intercept form. See Examples 5 and 6.
57. 58. 59.
60. 61. 62.
63.Concept Check Which equations are equivalent to
A. B.C. D.
64.Concept Check In the summary box on page 216,we give the equations
andas examples of equations in slope-intercept form and point-slope form, respectively.
Write each of these equations in standard form. What do you notice?y+ 3 =3
2
y= 1 x- 223
2
x- 6y- 2 =2
3
y=- 1 x- 623
2
x+ 3y= - 2 x+ 3 y=- 62
3
x- 22 x- 3 y=6?1 7, - 22 , m=-7
2
1 6, - 32 , m=-4
5
1 4, 2 2 , m=-1
3
1 - 2, 5 2 , m=2
3
1 2, 1 2 , m=5
2
1 - 4, 1 2 , m=3
4
1 - 3, 1 2 , m=- 2 1 9, 3 2 , m= 1 1 8, 4 2 , m= 1
1 4, 1 2 , m= 2 1 2, 7 2 , m= 3 1 - 1, 3 2 , m=- 41 2, 4 2 , 1 3, - 22 ,
1 - 2, 3 2 , m= 0 1 3, 2 2 , m= 01 0, 0 2 , m=- 2 1 0, 0 2 , m=- 31 - 2, 2 2 , m=3
2
1 - 1, 4 2 , m=2
5
1 2, - 12 , m=-1
3
1 1, - 52 , m=-2
5
1 0, 1 2 , m= 4 1 0, - 52 , m=- 24 x- 5 y= 20 6 x- 5 y= 30y=- 2 x+y=- 5 3 x+y=- 21
2
x+ 2y=-1
3
y= 3 x+ 2 y= 4 x- 4 x+ 41 0, - 22 1 0, 5 2
m=1, 1 0, - 92 m=0, 1 0, 3 2 m=0, 1 0, - 42m=4, 1 0, - 32 m=-5, 1 0, 6 2 m=-1, 1 0, - 72