SOLUTION: The line is parallel to -3x + 2y = 9 and contains the point (-2, 1) find the equation of each line write answer in slop intercept form. can any one please help me out with th

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The line is parallel to -3x + 2y = 9 and contains the point (-2, 1) find the equation of each line write answer in slop intercept form. can any one please help me out with th      Log On


   

Question 53499: The line is parallel to -3x + 2y = 9 and contains the point (-2, 1)
find the equation of each line write answer in slop intercept form.

can any one please help me out with this. thanks a bunch
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Remeber that parallel lines have the same slope, so first find the slope of the given line by putting it into the "slope-intercept" form of the equation for a line:
-3x%2B2y+=+9 Add 3x to both sides of the equation.
2y+=+3x%2B9 Divide both sides by 2.
y+=+%283%2F2%29x%2B9%2F2 Compare this with the slope-intercept form:
y+=+mx+%2B+b and you'll see that the slope, m+=+3%2F2 so you can write:
y+=+%283%2F2%29x+%2B+b Now, to find b, the y-intercept, you'll need to substitute the x- and y-coordinates of the given point (-2, 1) into this equation and solve for b.
1+=+%283%2F2%29%28-2%29%2Bb Simplify and solve for b.
1+=+-3%2F4%2Bb Add 3%2F4 to both sides.
7%2F4+=+b Now you can write the final equation of the line that is parallel to -3x+2y = 9 and which contains the point (-2, 1)
y+=+%283%2F2%29x%2B7%2F4