Answer
$\color{blue}{y=x+4}$
Work Step by Step
RECALL:
(1) The slope-intercept form of a line's equation is:
$y=mx+b$
where $m$=slope and $b$ = y-intercept.
(2) The x-intercept of a line is the point where $y=0$ and whose coordinates are $(x, 0)$.
The given line has:
y-intercept = $4$
x-intercept = $-4$
Substituting the y-intercept of $4$ to $b$ in the slope-intercept form above gives the tentative equation of the line:
$y=mx+4$
The x-intercept is $-4$. This means that the point $(-4, 0)$ is on the graph of the line.
To find the value of $m$, substitute $0$ to $y$ and $-4$ to $x$ into the tentative equation above to obtain:
$y=mx+4
\\0=m(-4)+4
\\0=-4m+4
\\0+4m=4
\\4m=4
\\m=\frac{4}{4}
\\m=1$
Thus, the equation of the line is:
$y=1(x) + 4
\\\color{blue}{y=x+4}$
