[tex]y = -4x + 20[/tex]
Step-by-step explanation:
Note that the line goes through the following points: [tex]P_1(0, 20)[/tex] and [tex]P_2(5, 0).[/tex] So the slope of this line is
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{0 - 20}{5 - 0} = -4[/tex]
Now we can write the general form of the slope-intercept equation of the line as follows:
[tex]y = -4x + b[/tex]
To find the value of b, we can use either P1 or P2. Let's use P1:
[tex]20 = -4(0) + b \Rightarrow b = 20[/tex]
Therefore, the equation of the line is
[tex]y = -4x + 20[/tex]
