Answer
(a)
slope is $\frac{3}{4}$
y-intercept: $(0, -3)$
x-intercept $(4, 0)$
(b) $y=\frac{3}{4}x-3$
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 $(0, -3)$ to the point $(4, 0)$, the change in $y$ is $3$ while the change in $x$ is $4$. Thus, the slope is $\frac{3}{4}$.
The graph crosses the y-axis at the y-intercept $(0, -3)$.
The graph crosses the x-axis at the x-intercept $(4, 0)$.
(b) With a slope of $\frac{3}{4}$ and a y-intercept of $(0, -3)$, then the equation of the line is $y=\frac{3}{4}x-3$.
