SOLUTION: Find the equation of each line. Write each answer in slope intercept form. The line is parallel to -3x + 2y = 9 and contains the point (-2, 1)

Question 135019: Find the equation of each line. Write each answer in slope intercept form.
The line is parallel to -3x + 2y = 9 and contains the point (-2, 1)
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
-3X+2Y=9
2Y=3X+9
Y=3X/2+9/2 (red line)THIS LINE HAS A SLOPE OF 3/2.
THUS THE LINE THAT IS PARALLEL ALSO HAS A SLOPE OF 3/2.
NOW REPLACE THE X & Y VARIABLES WITH -2 & 1 RESPECTIVELY.
1=3/2*-2+b
1=-3+b
b=1+3
b=4 FOR THE NEW Y INTERCEPT.
THUS THE LINE FORMULA IS:
Y=3X/2+4 ANSWER (green line).
(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 3x/2 +9/2 and 3x/2 +4).
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