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
[tex]\begin{gathered} (0,4) \\ \text{and} \\ (1,1) \end{gathered}[/tex]
This way, we'll get:
[tex]m=\frac{1-4}{1-0}\rightarrow m=-3[/tex]
Now, notice that point
[tex](0,4)[/tex]
is also the y-intercept of the line.
This way, the equation of the line in the slope-intercept form ( y = mx + b) is:
[tex]y=-3x+4[/tex]
Answers:
1. m = -3
2. y-intercept = 4
3. Equation: y = -3x + 4