write an equation of the line containing the given point and perpendicular to the given line.
(0,5);9x+2y=3
the equation of the line is y= ?

Question

write an equation of the line containing the given point and perpendicular to the given line.
(0,5);9x+2y=3
the equation of the line is y=  ?

anonymous · Answer

@jigglypuff314

jigglypuff314 · Answer

first find the slope of   9x+2y=3
what do you get?

anonymous · Answer

-9/2

jigglypuff314 · Answer

yep :)
then the slope of a line perpendicular to that is 
the flipped opposite

so the flipped opposite would be   2/9

so you need to make an equation of a line
that has slope= 2/9  and point (0, 5)

anonymous · Answer

so how would I do that?

jigglypuff314 · Answer

slope-intercept form: y = mx + b
when m = slope and b = y-intercept

so since  slope = m = 2/9

you get   y = (2/9)x + b

then temporarily plug in point  (0, 5)
to find " b "
so  5 = (2/9)(0) + b   solve for b

anonymous · Answer

5

jigglypuff314 · Answer

yup :)
so plug back into    y = (2/9)x + b
so  y = (2/9)x + 5

anonymous · Answer

so do I put the parenthesis?

jigglypuff314 · Answer

yeah, it's best if you do
since it could be misinterpreted as  2/(9x) otherwise...