Answer
$x-\text{intercept is } -\dfrac{7}{2} \text{ or } \left( -\dfrac{7}{2},0 \right)
$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the definition of $x-$intercept (the value of $x$ when $y$ or $f(x)$ is $0$), to find the $x-$intercept of $
f(x)=2x+7
.$
$\bf{\text{Solution Details:}}$
Replacing $f(x)$ with zero, then
\begin{array}{l}\require{cancel}
0=2x+7
\\\\
-2x=7
\\\\
x=\dfrac{7}{-2}
\\\\
x=-\dfrac{7}{2}
.\end{array}
Hence the $
x-\text{intercept is } -\dfrac{7}{2} \text{ or } \left( -\dfrac{7}{2},0 \right)
.$
