Posted by Christina on Thursday, October 13, 2011 at 10:21am.
What is the standard form of the equation of the line passing through the point (1,2) and perpendicular to the line y=  2/3x  1?
a. 3x2y=1
b.3x2y=1
c.3x+2y=1
d.3x+2y=1
I don't understand, can anyone help me please?

Algebra  Christina, Thursday, October 13, 2011 at 10:36am
Would this be B?
3(1)  2(2) = 1
(3)  (4) =1
1 = 1

Algebra  Steve, Thursday, October 13, 2011 at 4:23pm
Yes.
However, I don't think you understand why. Just checking to see which of the lines contains your point is not enough.
The line y = 2/3x  1 has slope 2/3.
Any line perpendicular to that line has slope 1/(2/3) = 3/2.
So, now you have a slope and a point.
Using the pointslope form a line,
y(2) = 3/2 (x(1))
y+2 = 3/2 (x+1)
2(y+2) = 3(x+1)
2y + 4 = 3x + 3
3x  2y = 1
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