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