First, let's calculate the slope of the line.
To do so, we'll need two points that belong to the line. Taking a look at the graph, we can obtain points
![\begin{gathered} (0,4) \\ \text{and} \\ (1,1) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/68s8yt5p4os62a1bwbfj6tim6ospujvtrp.png)
This way, we'll get:
![m=(1-4)/(1-0)\rightarrow m=-3](https://img.qammunity.org/2023/formulas/mathematics/college/ld0299s1ashw6g8d5c4jb2bb4u7ymr6nq0.png)
Now, notice that point
![(0,4)](https://img.qammunity.org/2023/formulas/mathematics/college/rem6jssjc9g8x96yv05i8lac23dmd9hz6y.png)
is also the y-intercept of the line.
This way, the equation of the line in the slope-intercept form ( y = mx + b) is:
![y=-3x+4](https://img.qammunity.org/2023/formulas/mathematics/high-school/rc4cfmgsj6j0c9fxwk8zphebqq7f43jz4e.png)
Answers:
1. m = -3
2. y-intercept = 4
3. Equation: y = -3x + 4