Answer
$\\\color{blue}{y=\dfrac{1}{2}x-1}$
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 = $-1$
x-intercept = $2$
Substituting the y-intercept of $-1$ to $b$ in the slope-intercept form above gives the tentative equation of the line:
$y=mx+(-1)
\\y=mx-1$
The x-intercept is $2$. This means that the point $(2, 0)$ is on the graph of the line.
To find the value of $m$, substitute $0$ to $y$ and $2$ to $x$ into the tentative equation above to obtain:
$y=mx-1
\\0=m(2)-1
\\0=2m-1
\\0+1=2m
\\1=2m
\\\frac{1}{2} = m$
Thus, the equation of the line is:
$\\\color{blue}{y=\dfrac{1}{2}x-1}$
