SOLUTION: x-intercept=4; parallel to the line -2x+3y=3

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Question 420917: x-intercept=4; parallel to the line -2x+3y=3
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Given line:
-2x+%2B+3y+=+3+
+3y+=+2x+%2B+3+
+y+=+%282%2F3%29%2Ax+%2B+1+
This is in the form y+=+mx+%2B+b+ where
m = slope
The line parallel to this line must also have
slope = 2/3
The x-intercept is where y+=+0
I can say now
+y+=+%282%2F3%29%2Ax+%2B+b+ goes through the point (4,0)
+0+=+%282%2F3%29%2A4+%2B+b+
+b+=+-%282%2F3%29%2A4+
+b+=+-%288%2F3%29+
The equation is:
+y+=+%282%2F3%29%2Ax+-+8%2F3+
Here's a plot of both lines: