Answer: 
 a. The slope  of a line parallel to the given line is 1
 b. A point on the line parallel to the given line, passing through (−4, 2), is  (1,7)
 c. The slope of the line perpendicular to the given line is -1
 d. A point on the line perpendicular to the given line, passing through (−4, 2), is (3,-5)
Step-by-step explanation:
 The equation of the line in Slope-intercept form  is:
 
 Where m is the slope and b is the y-intercept.
 a. For the line 
 You can identify that:
 
  By definition, two lines are parallel if they have the same slope. Then, the  slope of a line parallel to the given line is:
 
 b. The equation of the line in Point-slope form is:
 
 Where m is the slope and ( )  is a point of the line.
)  is a point of the line.
 Given the point (-4,2), substitute this point and the slope of the line into the equation:
  
 Give a value to "x", substitute it into this equation and solve for "y":
 For  :
 :
 
 
 
 Then, you get the point (1,7)
 c. The slopes of perpendicular lines are negative reciprocals, then the  slope of a line perpendicular to the given line is:
 
 d. Given the point (-4,2), substitute this point and the slope of the line into the equation:
  
  
 Give a value to "x", substitute it into this equation and solve for "y":
 For  :
 :
 
 
 
 Then, you get the point (3,-5)