#### Answer

(a)
slope = $2$.
y-intercept: $(0, -1)$
x-intercept: $(0.5, 0)$
(b) $y=2x-1$.

#### Work Step by Step

RECALL:
(1) The slope is the ratio rise (change in y) over run (change in x).
(2) The x-intercept is the point where the graph touches/crosses the x-axis.
(3) The y-intercept is the point where the graph touches/crosses the y-axis.
(4) The slope-intercept form of a line's equation is $y=mx+b$ where $m$=slope and $(0, b)$ is the line's y-intercept.
(a) From the point $((0, -1)$ to the point $(1, 1)$, the change in $y$ is $2$ while the change in $x$ is $1$. Thus, the slope is $\frac{2}{1}=2$.
The graph crosses the y-axis at the y-intercept $(0, -1)$.
With a slope of $2$, for a change of $0.5$ in $x$, there corresponds a 1-unit increase in the value of $y$. Thus, the x-intercept is $(0.5, 0)$
(b) With a slope of $2$ and a y-intercept of $(0, -1)$, then the equation of the line is $y=2x-1$.