find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points (-6,-1) and (1.7)

Step-by-step explanation:

1.  Calculate the slope for the line with points (-6,-1) and (1,7).  Rise/Run, so take the difference between the two points for both x and y:

  Change in x (the run) is 1 - (-6) = 7

   Change in y (the rise) is 7 - (-1) = 8

The slope is rise/run so 8/7.

Any line of the form y=mx+b, where m is the slope, will be parallel to this line if it has the same slope:  y = (8/7)x + whatever.  

Any line in the same format with be perpendicular if the slope is the negative inverse of the reference line.  In this case the perpendicular slope would be (-7/8).  y = (-7/8)x + whomever.

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer