write an equation of the line.
(0,3) 7x+3y=2

Question

write an equation of the line.
(0,3) 7x+3y=2

mathstudent55 · Answer

I don't understand the question.
(0, 3) is a point.
7x + 3y = 2 is the equation of a line.
What exactly is the problem asking for?

anonymous · Answer

it says....write an equation of the line containing the given point and perpendicular to the given line.

anonymous · Answer

@mathstudent55

hartnn · Answer

can you find the slope of the line 7x+3y = 2 ?

anonymous · Answer

-7/3

hartnn · Answer

thats correct! 
did you know that product of slope of perpendicular lines = -1 
?

anonymous · Answer

no

anonymous · Answer

now i do lol

hartnn · Answer

now you know
m*(-7/3) = -1
find m from here :)

anonymous · Answer

wait huh? i dont understand.

hartnn · Answer

say the slope is a/b
then the slope of perpendicular line will be -b/a
or "the negative reciprocal"

anonymous · Answer

so it would be 7/3=-1

hartnn · Answer

the slope of line was -7/3
so the slope of perpendicular line will be +3/7

i interchanged the numerator and denominator (reciprocal)
and inverted the sign

anonymous · Answer

so how would i find the equation of the line?

anonymous · Answer

y=

hartnn · Answer

now you have the slope m = 3/7
and a point x1,y1 = 0,3

just plug these in 
$y-y_1 = m (x-x_1)$

anonymous · Answer

y-3=3/7(x-0)

hartnn · Answer

correct!
now simplify

anonymous · Answer

y=3x/7+3

hartnn · Answer

y-3= 3x/7 

multiply 7 on both sides first

anonymous · Answer

21-3=3x/7

hartnn · Answer

7(y-3) =3x

7y -21 = 3x
7y-3x = 21

anonymous · Answer

so how would i turn that into y=mx+b format?

hartnn · Answer

oh, u need it into y=mx+b format ?

then y =(3/7)x+3 
was correct :)

anonymous · Answer

do i usethe parenthesis?

hartnn · Answer

yes, you can
but both 
y= (3/7)x+3
and 
y= 3x/7 + 3 
are correct.
though the second on is bit confusing