SOLUTION: Find an equation for the line with y-intercept 3 that is perpendicular to the line y=2/3x-4. My answer is 2y=6-3x could this be right. Thanks for checking.

Algebra ->  Points-lines-and-rays -> SOLUTION: Find an equation for the line with y-intercept 3 that is perpendicular to the line y=2/3x-4. My answer is 2y=6-3x could this be right. Thanks for checking.      Log On


   

Question 43371This question is from textbook algebra and trigonometry with analytic geometry
: Find an equation for the line with y-intercept 3 that is perpendicular to the line y=2/3x-4. My answer is 2y=6-3x could this be right. Thanks for checking. This question is from textbook algebra and trigonometry with analytic geometry

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
line y=(2/3)x-4 has a gradient of 2/3.

Any line perpendicular to this has a gradient of -3/2. And y-intercept=3, as given in the question.

So, from y=mx+c, we get
y=(-3/2)x+3

Again, this is a correct answer. However the equations are usually quoted without fractions or without negatives.

2y=-3x+6
--> 2y+3x=6

jon.