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

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

Problem 9 :

The line Q passes through the points (−10, −2) and (−8, −8) The line R passes through the points (1, 2) and (10, a) The lines Q and R are perpendicular. Find the value of a.

Solution

Problem 10 :

The point C has coordinates (2, −3) and the point D has coordinates (4, 6). Find the equation of the line perpendicular to CD and passing through D.

Solution

Problem 1 :

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

Solution

Problem 2 :

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

Solution

Problem 3 :

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

Solution

Problem 4 :

Write down the equation of the line perpendicular to the line 1 and passing through A.

Solution

Problem 5 :

Write down the equation of the line perpendicular to the line 1 and passing through A.

Solution

Problem 6 :

Write down the equation of the line perpendicular to the line 1 and passing through A.

Solution

Problem 7 :

Is quadrilateral QRST a parallelogram? Explain your reasoning.

Solution

Problem 8 :

A bike path is being constructed perpendicular to Washington Boulevard through point P(2, 2). An equation of the line representing Washington Boulevard is

y = −(2/3)x

Find an equation of the line representing the bike path.

Solution

Problem 1 :

A straight line passes through the points A(1, 4) and B(5, 16)

a) Find the equation of the line parallel to AB that passes through (1, 7)

b)  Find the equation of the line perpendicular to AB that passes through the midpoint of AB.

Solution

Problem 2 :

Are the lines 2x + y = 8 and y = 2x + 5 parallel?

Solution

Problem 3 :

Are the lines 4x - y - 5 = 0 and x + 4y + 1 = 0 perpendicular?

Solution

Problem 4 :

The Line L has equation y = 2x + 8.

The line L crosses the x-axis at the point A.

The line M is perpendicular to Line L and passes through the point A

a) Find the coordinates of the point A.

b) Find equation of the line M.

Solution

Problem 5 :

The point A has coordinates (-12, -7) and the point B has coordinates (-8, 1). Find the equation of the line parallel to AB and passing through (2, 5)

Solution

Problem 6 :

The line L passes through the points (-2, 1) and (2, 3)

The line N passes through the points (4, 7) and (12, 11)

Bryan says that the lines L and N are parallel.

Is Bryan correct? Explain your answer?

Solution