Math 112  14.     Lines Drill

 


Write in slope-intercept form and find slope and y-intercept.  (means solve for y)

 

1.  2x + 3y = 0

 

2.  2x + 3y -4 =0

 

3.  2x - 4y -6 = 0

 

4.  y - 4 = 0

 

5.  x = 5

 

6.  x/3 + 5 y = 3

 

7.  2x -3y = 2x + y  -5

 

8.  5x + 2y/3 -1/4 = 0

 

9.  4 x -3 = 0

 

10.  y - x = 0

 

Use the given slope and intercept to graph the line:

 

1.  slope = 5, y-intercept = -3

 

2.  slope = 1/5, y-intercept = 3

 

3.  slope = -2/3, y-intercept = -1

 

4.  slope = 0, y-intercept = -1

 

5.  slope = undefined, x-intercept = -3

 

6.  slope = 5/4, y-intercept = -2

 

7.  slope = 0, y-intercept = 2

 

8.  slope = 0, y-intercept = 8

 

9.  slope = -5, y-intercept = 6

10.  slope = -3/5, y-intercept = -3

 

 

 

Write the equation of the line with the given slope and intercept.

 

1.  slope = 5, y-intercept = -3

 

2.  slope = 1/5, y-intercept = 3

 

3.  slope = -2/3, y-intercept = -1

 

4.  slope = 0, y-intercept = -1

 

5.  slope = undefined, x-intercept = -3

 

6.  slope = 5/4, y-intercept = -2

 

7.  slope = 0, y-intercept = 2

 

8.  slope = 0, y-intercept = 8

 

9.  slope = -5, y-intercept = 6

 

10.  slope = -3/5, y-intercept = -3

 

Write the equation of the line thru the given point with the given slope.  (use point-slope form of the linear equation where possible.)

 

1.  Point = (-1, 3) , slope = 8

 

2.  Point = (-1, 3) , slope = 0

 

3.  Point = (-1, 3) , slope = undefined

 

4.  Point = (-1, 0) , slope = 2/3

 

5.  Point = (1, 4) , slope = 3

 

6.  Point = (-1, -3) , slope = -4

 

7.  Point = (-2, 4) , slope =undefined

 

8.  Point = (-2, 3) , slope = 0

 

9.  Point = (4, -3) , slope = -3

 

10.  Point = (0, 0) , slope = 5

 

Graph the line using the given point and slope.

 

1.  Point = (-1, 3) , slope = 8

 

2.  Point = (-1, 3) , slope = 0

 

3.  Point = (-1, 3) , slope = undefined

 

4.  Point = (-1, 0) , slope = 2/3

 

5.  Point = (1, 4) , slope = 3

 

6.  Point = (-1, -3) , slope = -4

 

7.  Point = (-2, 4) , slope =undefined

 

8.  Point = (-2, 3) , slope = 0

 

9.  Point = (4, -3) , slope = -3

 

10.  Point = (0, 0) , slope = 5

 

Find the equation of the line thru the given points.

 

1.  (1,3),  (4, 5)

 

2.  (-1, 2), (3, -4)

 

3.  (3, -4), (3, 5)

 

4.  (5, -2), ( 5, 5)

 

5.  (-8, 8), (-8, -5)

6.  (1, 2) , (3, 2)

 

7.  (4, 9), ( -3, 9)

 

8.  (-2, 7), (7, 7)

 

9.  (-1, -3), (5, 4)

 

10.  (8, -2), (-4, -5)