SOLUTION: Hi! I'm having some trouble with the following problem. Can you help me? Find an equation of the line that satisfies the given conditions. through (1/2, -2/5); perpendicular

Algebra ->  Equations -> SOLUTION: Hi! I'm having some trouble with the following problem. Can you help me? Find an equation of the line that satisfies the given conditions. through (1/2, -2/5); perpendicular      Log On


   

Question 197344: Hi!
I'm having some trouble with the following problem. Can you help me?
Find an equation of the line that satisfies the given conditions.
through (1/2, -2/5); perpendicular to the line 3x - 6y = 1
thanks!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Step 1: Put your equation into slope-intercept form, that is, solve for y so that it looks like:

Then use the slope, m, of the given line that you can determine by inspection of the slope-intercept form of your equation and the fact that:



to determine the slope of the desired line.

Then use this new slope value, the given point, and the point-slope form of the equation of a line to derive the desired equation:



John