>//M /<./// USE 



EXERCISES 



1 \\ntodewnthe equations of the set of lines parallel to the lines i 

 (a) f-S*-2; (ft) 3*-7f-Sj 



(y) 



2 lixplain why it is thai the constant term in the Answers t< 



u left undetermined or arbitrary. 



the tangent of the angle between the line* (a) and (ft) in 

 ; also for the lines (ft) and (S), and (a) and (8) of Kx. 1 



4 Writ* the equations of lines perpendicular to those given it. 



5 By the method of Art, 62 find the equation of tin- peases 

 through the point ( li, 1), and is parallel to the line y = Ox - 2. 



6 Bohi 1.x. 4 by means of equation [11], Art. 53. 



7 I M..I the equation of the line that ifl parallel to the line AT 4 Ry 

 + CssO and that psimcin through the point (s r y,); make two solu- 

 tions, one by the method of Ex. 6, and the other 



1 the equation of the straight line 



8 through the point (2, -5) and parallel to the line y = 2 x + 7. 



9. through tin- ixiint (~1, ~1) and perpendicular to jr = 2x + 7; 

 solve by two methods. 



10. through the point (0, 0) and parallel to the line 

 3 r-y4 I 



2*- 5" n 



11 perpendicular to the line 2y + 7x-l=0,and passing through 

 the point in i.l way between the two points in which this line meets the 

 Doordinatc 



12 Find the foot of the perpendicular from the origin to the line 

 6*-7y 



63. Line which makes a given angle with a given line. 



formula 



tan 0, tan 0, 



the relation existing between the tangents of the 

 r? r B r and 4> (see Fig. 47) , hence if any two of 



