Question 373624
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Hi,
Write equation of the line containing the given point and parallel to the given line
Using the standard point-slope form for an equation of a line y = mx + b  
where m is the slope and b the y-intercept.  
3x = 7y+6  Solving for y to put the equation into the slope-intercept form
3x - 6 = 7y
(3/7)x - (6/7) = y  Slope of this line is (3/7)
parallel lines have equal slopes
New line would be
y = (6/7)x + b  Using ordered pair Pt(-2,9) to solve for b
{{{9 = (6/7)*-2 + b}}}
9 + (12/7) = b
63/7 + (12/7) = b
75/7 = b
y = (6/7)x + 75/7