The-slope-of-a-curve-is-7x-3-and-it-passes-through-the-point-2-4-Find-the-equation-of-the-point-

Question Number 12013 by tawa last updated on 09/Apr/17

The slope of a curve is, 7 x + 3 and it passes through the point (2, 4),

Find the equation of the point

Answered by ajfour last updated on 09/Apr/17

\frac{d y}{d x} = 7 x + 3

\int d y = \int (7 x + 3) d x

\Rightarrow y = \frac{7 x^{2}}{2} + 3 x + C

a s i t p a s s e s t h r o u g h (2, 4)

4 = \frac{7 \times 4}{2} + 3 \times 2 + C

\Rightarrow C = 4 - 20 = - 16

y = \frac{7 x^{2}}{2} + 3 x - 16 .

Commented by tawa last updated on 09/Apr/17

God bless you sir .

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