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= ?

Answer 1

@jigglypuff314

Answer 2

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

Answer 3

-9/2

Answer 4

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)

Answer 5

so how would I do that?

Answer 6

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

Answer 7

5

Answer 8

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

Answer 9

so do I put the parenthesis?

Answer 10

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