write the equation of the line that is perpendicular to the line y=-3x+4 that goes through the point (6,10).

Question

jdoe0001 · Answer

hmmm what's the slope of say    " y=-3x+4 " ?

jdoe0001 · Answer

?   so... the slope of that one is..... *rolling drums* ?

jdoe0001 · Answer

heheh

jdoe0001 · Answer

you may want to recheck your book on the slope-intercept form
and brush up a bit on it I'd think

anonymous · Answer

@Hero

anonymous · Answer

@Hero

anonymous · Answer

I got y=-1/3x+12

michele_laino · Answer

two lines are perpendicular each other, when the subsequent relationship, holds:
$$\large  m \times m' =  - 1$$
where m and m' are the slopes of those lines

michele_laino · Answer

what is the slope of the perpendicular line?

anonymous · Answer

y=-1/3x+12

anonymous · Answer

final answer

anonymous · Answer

"write the equation of the line that is perpendicular to the line y=-3x+4 that goes through the point (6,10)."

michele_laino · Answer

I can not give the answer directly, since the Code of Conduct

anonymous · Answer

ok

michele_laino · Answer

hint:
$$\Large \left( { - 3} \right) \times m' =  - 1$$
what is m'=...?

anonymous · Answer

it is 1/3

anonymous · Answer

sorry

michele_laino · Answer

ok!

michele_laino · Answer

no worries :)

michele_laino · Answer

now, the requested equation, is:
$$\Large y - 10 = \frac{1}{3}\left( {x - 6} \right)$$
please simplify that equation

anonymous · Answer

y=13x-68

michele_laino · Answer

hint:
$$\Large \frac{1}{3}\left( {x - 6} \right) = \frac{x}{3} - 2$$

michele_laino · Answer

so we have:
$$\Large  y - 10 = \frac{x}{3} - 2$$

michele_laino · Answer

now I add 10 to bot sides, so I get:
|dw:1429051909265:dw|