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6x=7y+5 OR 7Y=6X-5 OR Y=6X/7-5/7 (RED LINE) THIS LINE HAS A SLOPE OF 6/7 THUS ANY PARALLEL LINE ALSO HAS A SLOPE OF 6/7.
NOW REPLACE THE X & Y TERMS WITH THE POINT VALUES GIVEMN & SOLVE FOR THE Y INTERCEPT (b)
b=68/7 FOR THE Y INTERCEPT. THUS WE HAVE THE EQUATION:
Y=6X/7+68/7 (GREEN LINE) FOR THIS PARALLEL LINE THROUGH (-9,2).
(graph 300x200 pixels, x from -16 to 5, y from -10 to 10, of TWO functions 6x/7 -5/7 and 6x/7 +68/7).