You can
put this solution on YOUR website!The equation of the line that goes through the point (3,7) and is perpendicular to the line 3 x + 2 y = 4 can be written in the form y = mx+b where m is: and where b is:
So, I got 3x + 2y = 4
2y = 4 - 3x
y = (4 - 3x)/2
************ y = (-3/2)x + 2
m = -3/2
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so m=2/3 ** That's the slope of lines perpendicular, the neg inverse of -3/2. Odd that you would have gotten the right answer using 2/3.
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then i plugged everything and got
y - 7 = 2/3(x + 3)
**************** y-7 = (2/3)(x - 3) You had (x+3)
y - 7 = 2/3x - 2
y = (2/3)x - 2 + 7
y = (2/3)x + 5
You can
put this solution on YOUR website!Ok, you've got the slope of the new line correct. The negative reciprocal of the given line which has a slope:
is, of course,
Now you can write:
In order to find b, the y-intercept, substitute the x- and y-coordinates of the point (3, 7) through which this line passes.
Simplify.
so...
The final equation is:
(