SOLUTION: Write the equation of the line in general form that is parallel to 2x-3y-15=0 and that passes through the point(3,4).

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Question 186617: Write the equation of the line in general form that is parallel to 2x-3y-15=0 and that passes through the point(3,4).
Answer by checkley77(12569) About Me  (Show Source):
You can put this solution on YOUR website!
2x-3y-15=0
-3y=-2x+15
y=-2x/-3+15/-3
y=2x/3-5 this line has a slope=2/3 & a y intercept=-5.
Y=mX+b
(3,4)
4=(2/3)(3)+b
4=6/3+b
4=2+b
4-2+b
b=2 ans. for the Y intercept.
y=2x/3+3 is the equation of the line with a slope=2/3 through (3,4).
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x%2F3+%2B2%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 2x/3 +2).