#### Answer

part a: $m=-5$
part b: decreasing
part c: $(0,5)$
part d: $(1,0)$

#### Work Step by Step

part a:
Formula for slope: $m=\frac{y_{2}-{y_{1}}}{x_{2}-{x_{1}}}$
Substitute: $m=\frac{{5}-{0}}{{0}-{1}}$
$\ast$You can choose any two given points on the graph for substituting, but this explanation is solved using $(1,0)$ and $(0,5)$.
Simplify: $m=\frac{5}{-1}=-5$
part b: The slope is negative so the line is decreasing.
part c: The vertical intercept is also known as the y-intercept. The line crosses through 5 on the y-axis. In proper form, the vertical intercept is $(0,5)$.
part d: The horizontal intercept is also known as the x-intercept. The line crosses through 1 on the x-axis. In proper form, the horizontal intercept is $(1,0)$.