Find an equation for the line with the given properties Para

Find an equation for the line with the given properties. Parallel to the line 5x-y =-5 containing the point (0,0)

Solution

given line

5x-y =-5

rewrite as 5x=-5+y

y=5x+5

here m=5

slope of a parallel line also =5

now get a equation of line with slope 2 and passing throgh point (0,0)

(y-y1)=m(x-x1)

here( x1,y1 )=(0,0)

required equation of line , y-0 = 2(x-0)

y=2x