Answer:
The slope is
![(-4)/(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/7zkmyx3dbrpbbukdxjuk6v3eztqp95zlwe.png)
Explanation:
To find the slope all we need to do is to use the formula;
slope(m) = y₂ - y₁ / x₂ - x₁
From the question given,
The points are; (1,9) and (4,5)
which implies x₁ = 1 y₁ = 9 x₂ = 4 y₂ = 5
Now, we can proceed to insert the values into the formula;
slope(m) = y₂ - y₁ / x₂ - x₁
=5 - 9 / 4 - 1
= -4/3
Therefore the slope is
![(-4)/(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/7zkmyx3dbrpbbukdxjuk6v3eztqp95zlwe.png)