Equation of tangent and normal problem (step-by-step solutio…

I am trying to solve a calculus problem related to finding the equation of a tangent and normal to a curve.

The question is:

Find the equation of the tangent and the normal to the curve

y = x + 5 at the point where the tangent is parallel to the line 4x y + 1 = 0.

I attempted the solution by differentiating the curve: dy/dx = 2x

Then I tried to match the slope of the tangent with the slope of the given line, but I am confused about the next steps and how to correctly find the point and final equations.

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