Question 877601
Parallel lines have equal slopes.



The slope of {{{ y=(2/5)x+1}}} is 2/5



The slope of this new line is also 2/5



So {{{m = 2/5}}}



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{{{y = mx+b}}}



{{{y = (2/5)x+b}}} Plug in {{{m = 2/5}}}



{{{5 = (2/5)(5)+b}}} Plug in (x,y) = (5,5). Solve for b.



{{{5 = (2/5)(5/1)+b}}}



{{{5 = (2*5)/(5*1)+b}}}



{{{5 = 10/5+b}}}



{{{5 = 2+b}}}



{{{5-2 = b}}}



{{{3 = b}}}



{{{b = 3}}}



Since {{{m = 2/5}}} and {{{b = 3}}}, we know the final answer is {{{y = (2/5)x + 3}}}