a line is parallel to ax+5y= -15 and passes through the origin, where a is an integer.

Question

Write the equation of the line.

Answer 1

 

slope intercept form of equation is

y = mx + b

 

write given equation in slope intercept form

5y =-ax-15

 

y= -a/5 x -3 

 

 line is parallel

 

so slope of line is -a/5

 

as line goes through the origin(0,0)=(x,y)

 

y= mx + b

 

0=-a/5(0) +b

 

b=0

 

so equation of line is

 

y= -a/5 x