SOLUTION: Find an equation for the line with the given property. Express answer in general form and slope-intercept form of the equation of a line. Problem Perpendicular to the line x =

Algebra ->  Graphs -> SOLUTION: Find an equation for the line with the given property. Express answer in general form and slope-intercept form of the equation of a line. Problem Perpendicular to the line x =      Log On


   

Question 14299: Find an equation for the line with the given property. Express answer in general form and slope-intercept form of the equation of a line.
Problem
Perpendicular to the line x = 8; containing the point (3,4)
Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
To find the slope of a perpendicular line, you take the negative recipricol of the current slope.
So, the slope of the perpendicular line would be -1%2F8
Then to solve, you plug in numbers into the y=mx%2Bb equation using the point they gave you (3,4) to solve for b (y-intercept).
4=-1%2F8%2A%283%29%2Bb
4=-3%2F8%2Bb
Add 3%2F8 to both sides
35%2F8=b
Then put that back into the equation.
y=-1%2F8x%2B35%2F8