Practice with
Slopes and  Equations of  Lines
 Topic Index | Geometry Index | Regents Exam Prep Center

 

Answer the following questions dealing with
slopes and equations of lines.
 
1.

Which of the following equations passes through the points (2,4) and (-3,-6)? 

Choose:

y = (1/2)x - 2
y = 2x
y = 2x + 4
y = (-1/2)x + 2 

 

 

2.

 What is the slope of a line perpendicular to 2y = -6x - 10?

Choose:

-3
  3
-1/3
  1/3

 

 

 

3.  Given 3y - 4x = 5 and  4y + 6 = 3x.
Are these lines parallel, perpendicular or neither?

Choose:

parallel
perpendicular
neither

 

 

 

4.

 What is the equation of a line that passes through the point (4,-5) and is parallel to 3x + 2y = 12?

 

Choose:

y = -3x + 6
y = (3/2)x + 1
y = 3x + 1
y = (-3/2)x + 1

 

 

5.

What is the equation of a line that passes through the point (-1,-2) and is perpendicular
to -5x = 6y + 18?

 

Choose:

y = (6/5)x - (4/5)
 y = (-6/5)x + (6/5)
y = (6/5)x + (4/5)
y = (-6/5)x - (4/5)

 

 

6.

 

x 1 3 5 7
y 2 5 8 11

A line passes through the points shown in this table.
What is the slope of a line perpendicular to this line?

Choose:

3/2
-2/3
-3/2
 2/3

 

 

7.  Given 4y - 2x = 10 and  -6y - 6 = -3x.
Are these lines parallel, perpendicular or neither?

Choose:

parallel
perpendicular
neither

 

 

 

8.

 What is the equation of a line that is parallel to y = -4 and passes through the point (3,7)?

Choose:

y = 3x - 4
y = 3
y = 3x + 7
 y = 7

 

 

9.

 Write the equation of a line that is parallel to
4x + 2y = -8 and has the same y-intercept
as -3y = -2x - 9?

             

Choose:

y =  4x - 9
y = -4x - 9
y = -2x - 3
y = -2x + 3

 

 

10.

 A line passes through a point (2,5) and has a slope of -3.  What is the equation of a line perpendicular to this line through (2,5)?
   

Choose:

y = (1/3)x + 13/3
y = -3x + 17
y = -3x + 11
y = (1/3)x - 2/3

 

 

11.

 

What is the slope of a line that would be perpendicular to the line shown in this graph?

Choose:

-1/2
2
 1/2
 -2

 

 

 

12.

 Which of these equations represents a line parallel to the line 2x + y = 6?

Choose:

y = 2x + 3
y - 2x = 4
2x - y = 8
y = -2x + 1

 

 

13.

Find the slope of each side of the triangle
A(1,1), B(5,2), C(3,4) and the slopes of the altitudes to each side.

Answer

 

 

14.

A rancher is putting up a new fenced in area for his horses.  The corners of the fenced area are located at A(0,0), B(20,0), C(8,24) and D(-8,16). 
a. By checking slopes, show the relationship between and  . 
b.  By checking slopes, show the relationship between , and .
c.  What kind of quadrilateral is the pasture, and why?

Answer