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Haven't you heard that a line perpendicular to a line with slope m has a slope of - 1/m? So, the equation of the line has a slope of -1/3 (the given equation is in slope-intercept form). To find the intercept of the perpendicular line, Take the equation y = -x/3 + b, where b is unknown, and substiute x=6 and y=-2 in. That's your answer.

2007-03-29 15:46:05 · answer #1 · answered by cattbarf 7 · 1 0

A line perpendicular to another line has a slope equal to the negative inverse of the slope of the original line.

In this case, the slope is 3. Therefore, the perpendicular must have a slope of -1/3.

now, using the point/slope formula with the point that you want the line to go through, you get
y+2 = -1/3(x-6)
3y + 6 = -x +6
y= -1/3x

2007-03-29 22:47:21 · answer #2 · answered by bz2hcy 3 · 1 0

ok the other line is perpendicular, so...

you use (1/3) as a slope.

so its:

y= (1/3)x + b

(6, -2)
x y

then plug in x and y

-2 = (1/3)(6) + b

-2 = 2 + b

-2-2=b

-4 = b

so...

y = (1/3)x -4

2007-03-29 22:50:06 · answer #3 · answered by C12H22O11 4 · 0 0

The perpendicular of slope 3 is -1/3

Use the point-slope form:
y-y1=m(x-x1)
y+2=-1/3(x-6)
y+2=-1/3x+2
y=-1/3x

I hope this helps!

2007-03-29 22:53:46 · answer #4 · answered by Anonymous · 0 0

grad of perp = -1/3
sub (6,-2) into y=mx+c
-2=-1/3(6)+c
c= 0
therefore, eqn is y= -1/3x

2007-03-29 22:48:12 · answer #5 · answered by yuk 2 · 1 0

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