SOLUTION: Please help! Find the equation of the line that has the following characteristics; A line perpendicular to y=3x - 2 and passing through (2,3) Please express answer in "slo

Algebra ->  Linear-equations -> SOLUTION: Please help! Find the equation of the line that has the following characteristics; A line perpendicular to y=3x - 2 and passing through (2,3) Please express answer in "slo      Log On


   

Question 55042: Please help!
Find the equation of the line that has the following characteristics;
A line perpendicular to y=3x - 2 and passing through (2,3)
Please express answer in "slope-intercept form"
Thankyou,
DB
Answer by Hook(36) About Me  (Show Source):
You can put this solution on YOUR website!
Remember that if you're given a line of the form y+=+mx%2Bb%29 that any line perpendicular to that line must have the form of y+=+-x%2Fm+%2Bb. In English, the slope of two perpendicular lines are negative reciprocals of each other.
so we know the answer looks like y+=+-x%2F3+%2B+c. We just have to find c. Ah..but it must pass through (2,3). Ok...lets plop (2,3) into our line
3+=+-2%2F3%2Bc
11%2F3+=+c
Ok..that wasn't too hard.
Our answer looks like y+=+-x%2F3%2B11%2F3
CHECK: Lets graph both lines to see if this looks right
graph%28300%2C300%2C+-1%2C5%2C-1%2C5%2C3x-2%2C+-x%2F3%2B11%2F3%29
The green one there is the answer...and it sure looks like it goes through (2,3)