Find the equation


Find the equation of the tangent line to the curve $y=x^{2}-2 x+7$ which is

perpendicular to the line $5 y-15 x=13$


slope of given line is 3

finding the slope of the tangent by differentiating the curve

$\frac{d y}{d x}=2 x-2$

$m($ tangent $)=2 x-2$

since both lines are perpendicular to each other

$(2 \times-2) \times 3=-1$


since this point lies on the curve, we can find y by substituting $x$


therefore, the equation of the tangent is


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