<PRE><B>Question 181196</B>
Write slope-intercept form of the equation of line through the point 
(-3.9,-1.4) perpendicular to 6x +2y = 9
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1st, find the slope, m, of 6x +2y = 9 by putting it into slope-intercept form.  BTW, that means solve for y.
6x +2y = 9
2y = -6x+9
y = -3x + 9/2
The slope is -3
The slope of lines perpendicular is the negative inverse, +1/3
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Then,
y-y1 = m*(x-x1) where (x1,y1) is the point
y+1.4 = (1/3)*(x+3.9)
y+1.4 = (1/3)x + 1.3
y = (1/3)x - 0.1
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