Answer
(a)
slope = $-2$
y-intercept: $(0, 1)$
x-intercept is $(0.5, 0)$
(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 is $y$ 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 decrease 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 $y=-2x+1$.
