47 m 5 Write an equation of the line containing the point an

47. m 5\' Write an equation of the line containing the point and parallel to the indicated line. 49, (2,5), x-2y= 3 50, (1,4), 3x + y= 5 51. (-3,2), x + y = 7 e containing the specifi

Solution

#49. the indicated line is

x-2y=3

or 2y=x-3   

or y=x/3-3/2

hence the slope is 1/3

so any line line parralel to this line must have the same slope 1/3

hence the equation of the line should be

y=x/3+c ....(1) where c is such that the line passes through (2,5)

putting x=2 and y=5 in (1)

5=2/3+c   or c=5-2/3=13/3

hence the quation is

y=x/3+13/3

or 3y=x+13   [answer]