SOLUTION: Please help me solve this question. Find the equation of each line. Write the equation using function notation. Through (-4,8); perpendicular to 2x - 3y = 1 Thanks.

Algebra ->  Functions -> SOLUTION: Please help me solve this question. Find the equation of each line. Write the equation using function notation. Through (-4,8); perpendicular to 2x - 3y = 1 Thanks.       Log On


   

Question 91442This question is from textbook Introductory & Intermediate ALGEBRA
: Please help me solve this question.

Find the equation of each line. Write the equation using function notation.
Through (-4,8); perpendicular to 2x - 3y = 1
Thanks.
 This question is from textbook Introductory & Intermediate ALGEBRA

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
2X-3Y=1
-3Y=-2X+1
Y=-2X/-3+1/-3
Y=2X/3-1/3 THIS LINE HAS A SLOPE OF 2/3 SO A LINE WHICH IS PERPENDICULAR HAS A SLOPE OF -3/2. NOW USING THIS SLOPE & THE POINT (-4,8) IN THE LINE EQUATION
[Y=mX+b] WE GET
8=-3/2*-4+b
8=12/2+b
8=6+b
b=8-6
b=2 THUS THE EQUATION OF THIS LINE IS:
Y=-3X/2+2