SOLUTION: Find the y-intercept of the curve that passes through the point (2, 7) if dy/dx = 9x + 13.

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Question 1113954: Find the y-intercept of the curve that passes through the point (2, 7) if
dy/dx = 9x + 13.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


dy/dx = 9x+13 --> y = (9/2)x^2+13x+C

The missing constant C is the y-intercept, which is what we are looking for.

The curve passes through the point (2,7); so
7+=+%289%2F2%29%282%5E2%29%2B13%282%29%2BC
7+=+18%2B26%2BC
C+=+-37

The y-intercept is -37.