Find the equation of the curve that passes through the point (3, 4) if its slope is given by
{dy}/{dx} = 7 x - 7.

Question

Find the equation of the curve that passes through the point (3, 4) if its slope is given by 
{dy}/{dx} = 7 x - 7.

zepdrix · Answer

Hello there :)
$$\Large\rm y'=7x-7$$The slope equation refers to the `derivative function`.

zepdrix · Answer

So in order to find the function, $\Large\rm y$, we need to find an anti-derivative.
Do you know how to do that?

anonymous · Answer

yeah it's $$(7x^2/2)-7x$$

zepdrix · Answer

More generally it is:$$\Large\rm y=\frac{7}{2}x^2-7x+c$$The c is very important.

zepdrix · Answer

Then plug in your given point, $\Large\rm (3,4)$, and solve for c!