EQUATION OF THE LINE PARALLEL TO THE GIVEN LINE WORKSHEET

1)  Parallel to y = 3x + 5 and passing through (0, 2)

Solution

2)  Parallel to y = 4x - 1 and passing through (0, 6)

Solution

3)  Parallel to y = 5x and passing through (0, -3)

Solution

4)  Parallel to y = -2x + 10 and passing through the origin

Solution

5)  Parallel to x + y = 8 and passing through (0, -4)

Solution

6)  Parallel to x - 2y + 3 = 0 and passing through (0, 5)

Solution

7)  Write down equation of the line parallel to line 1 and passes through A.

Solution

8)  Write down equation of the line parallel to line 1 and passes through A.

Solution

9)  Write down equation of the line parallel to line 1 and passes through A.

Solution

Answer Key

1)  2x - y + 2 = 0

2)  4x - y + 6 = 0

3)  5x - y - 3 = 0

4)  2x + y - 0 = 0

5)  x + y + 4 = 0

6)  x - 2y + 10 = 0

7)  y = 5x - 4

8)  y = 4x - 5

9)  y = -2x + 8

Tell whether the lines are parallel, perpendicular, or neither.

Problem 1 :

Line 1 : through (-3, -7) and (1, 9)

Line 2 : through (-1, -4) and (0, -2)

Solution

Problem 2 :

Line 1 : through (2, 7) and (-1, -2)

Line 2 : through (3, -6) and (-6, -3)

Solution

Determine whether the graphs of each pair of equations are parallel, perpendicular, or neither.

Problem 3 :

y = 3x + 4

y = 3x + 7

Solution

Problem 4 :

y = -4x + 1

4y = x + 3

Solution

Problem 5 :

y = 2x - 5

y = 5x - 5

Solution

Problem 6 :

y = -1/3x + 2

y = 3x - 5

Solution

Problem 7 :

y = 3/5x - 3

5y = 3x - 10

Solution

Problem 8 :

y = 4

4y = 6

Solution

Answer key

1) Not parallel

2)  Perpendicular

3)  Parallel

4)  Perpendicular

5)  Neither

6)  Perpendicular

7)  Parallel

8)  they will not intersect

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