Answer
$\text{m=}\frac{-a}{b}$ ; falls
Work Step by Step
The slope of a line can be defined as the ratio of the vertical change to the horizontal change when moving from one fixed point to another along a line.
The general notation for the slope of a line is ‘m’.
$\text{m= }\frac{\text{change in vertical}}{\text{change in horizontal}}$
Let $\left( {{x}_{1}},{{y}_{1}} \right)$ represents point $\left( 0,a \right)$ and $\left( {{x}_{2}},{{y}_{2}} \right)$ represents point $\left( b,0 \right)$
Then,
$\begin{align}
& \text{m= }\frac{\text{change in vertical}}{\text{change in horizontal}} \\
& =\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}} \\
& =\frac{0-a}{b-0} \\
& =-\frac{a}{b}
\end{align}$
Hence, the slope of the line is $-\frac{a}{b}$
Since the slope has is negative, therefore the line passing through the provided point is falling.
