SOLUTION: Graph the line with the given point and slope. The line through (-3,3) with slope 6/5.

Algebra ->  Graphs -> SOLUTION: Graph the line with the given point and slope. The line through (-3,3) with slope 6/5.      Log On


   

Question 584416: Graph the line with the given point and slope. The line through (-3,3) with slope 6/5.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the line have the form
+y+=+m%2Ax+%2B+b+
where m = slope
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given:
slope = +6%2F5+
+y+=+%286%2F5%29%2Ax+%2B+b+
Plug in (-3,3) for x and y
+3+=+%286%2F5%29%2A%28-3%29+%2B+b+
+15+=+-18+%2B+5b+
+5b+=+15+%2B+18+
+b+=+33%2F5+
The equation is
+y+=+%286%2F5%29%2Ax+%2B+33%2F5+
check:
+y+=+%286%2F5%29%2Ax+%2B+33%2F5+
+3+=+%286%2F5%29%2A%28-3%29+%2B+33%2F5+
+15+=+-18+%2B+33+
+15+=+15+
OK