21. Write an equation of a line whose graph is parallel to the graph of y = 3x – 10.
well,you know when a line is parallel to another line , their slopes are equal to each other?
yes
ok,so the slope of the first one is "3" so the equation is: y = 3x + b
but we don't have b, okay?
so my answer of y=3x + 5 would be correct for the question?
why 5?
how did you find b=5?
i am assuming right now not sure
ok,the question just gave you slope,and didn't give you any point,so we can't find y-intercept...
then
@Yttrium how do i solve this one
you mean another question?
multiply the equation with any constant and you'll get a parallel line.
You already know the slope, right? Therefore, you can substitute any point that do not touch the given equation.
example ?@Yttrium
(0,0) then substitute it to the form y-y1 = m (x-x1) where your m=3
parallel lines have equal slopes, this means that we know that the slope of the unknown parallel line is..? :D
If you "don't use formula" it is better,or if you want to use formula "you need to know its proof"
please don't use any formula without any knowledge of its proof :)
for example you can solve @Yttrium 's question like this: y = m(x) + b and you know the slope,y and x so you can find b simply :)
ok wait let me solve it
0 = 3(0) + b 0 = 0 + b 0 = b
is it like that
correct :)
let me try my equation if i get it right
nah failed could not get any
@Yttrium give me 1 so that i answer it there
@Yacoub1993, you already had an answer. Since you've got b=0. Therefore, y=3x+ or simply y=3x is another equation with slope of 3. :)
ok thnxs
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