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)

Algebra ->  Graphs -> 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)       Log On


   

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) About Me  (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%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+3x%2F2+%2B9%2F2%2C+3x%2F2+%2B4%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 3x/2 +9/2 and 3x/2 +4).