Answer
$ x=\frac{1}{2}$
Work Step by Step
The slope of the tangent line=4 $\implies \frac{dy}{dx}=4$
That is, $\frac{d}{dx}(x^{2}+3x-7)=4$
$\implies 2x+3=4$
Or $ x=\frac{4-3}{2}=\frac{1}{2}$
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