I’m very confused and i’ve been doing this for 2 hours

parallel lines have the same exact slope.... hmmm so what the slope of that equation there?  low and behold, the equation is already in slope-intercept form, meaning

so a parallel line to that one, will also have a slope of 1/5, so we're really looking for the equation of a line whose slope is 1/5 and runs through 1,6.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.