Math
posted by B.B. .
Write an equation of the line containing the given point and perpendicular to the given line.
(8,6); 3x+5y=8. The equation of the line is y=
Here is what I have: 3x+5y=8 5y=3x+8
y= 3/5(x)+8/5 y=5/3(x)=b 5=5/3(5)+b
5=25/3+b 15=25+3b
40=3b b= 40/3= 13 1/3 y= 5/3(x)13 1/3
Is this correct? If not could you please show me where I went wrong? Thanks.

you should know that the slopes of perpendicular lines are opposite reciprocals of each other, so shouldn't the new equation look like
5x  3y = c ?
plug in the point (8,6)
40 + 18 = c = 58
so 5x  3y = 58 , ALL DONE!
(By the way, I did not even make an effort to read your calculations. Since they just run across the page, I can't decide where one statement ends and the next one repeats.)
Respond to this Question
Similar Questions

Writing this equation
how do I write the equation of a line perpendicular to the line 6x – 3y=10 and containing the point (6, 2). The line you are given can have its equation rewritten im y = mx + b as: y = 2x  10/3 That tells you that is slope is m … 
algebra
Write an equation of the line containing the given point and perpendicular to the given line. (28); 9x +5y =7 The equation of the line is y= what I am tried to problem cannot seem to get it right. 
algebra
Write an equation of the line containing the given point and perpendicular to the given line. express your answer in the fory y=mx+b. (8,9); 7x+y=2 the equation of the line is y=? 
algrbra 1
Write an equation of the line containing the given point and perpendicular to the given line. express your answer in the form y=mx+b. (5,7); 2x=9y+4 the equation of the line is y=? 
Algebra
graph the equation x3=y (where do I plot the points? 
Math 116
1.Write an equation of the line containing the given points and parallel to the given line (3,8); x+5y=3 2. Write an equation of the line containing the given points and parallel to the given line (3,6); 5x=9y+2 3. Write an equation … 
Math 116
1.Write an equation of the line containing the given points and parallel to the given line (3,8); x+5y=3 2. Write an equation of the line containing the given points and parallel to the given line (3,6); 5x=9y+2 3. Write an equation … 
college alg
Find (a) the equation of a line that is parallel to the given line and includes the given point, and (b) the equation of a line that is perpendicular to the given line through the given point. Write both answers in slopeintercept … 
Algebra
Write an equation of the line containing the given point and perpendicular to the given line. Express your answer in the form y=mx+b. (2,4) 3x+y=6 The equation of line is y=, and explain how you have gotten the answer. 
Intermediate Algebra
Write an equation of the line containing the given point and perpendicular to the given line. (0,4);5x+9y=4 The equation of the line is y=__?